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NCERT Solutions › Physics › Chapter 3

Chapter 3: Motion in a Straight Line

NCERT Solutions for CBSE Class 10 Physics — 105 solved questions with detailed explanations.

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Solved Questions

Q1. A ball is thrown vertically upward with velocity 20 m/s. The time taken to reach the maximum height is (g = 10 m/s²):

Difficulty: Easy · Topic: Vertical Motion

Solution

At maximum height, v = 0. Using v = u - gt: 0 = 20 - 10t, t = 2 s.

Q2. A body starts from rest and moves with uniform acceleration. The ratio of distances covered in the 1st, 2nd, and 3rd seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

Distance in nth second: s_n = u + a(2n-1)/2. For u=0: s_n ∝ (2n-1). So ratio = 1:3:5.

Q3. The velocity-time graph of a body is a straight line with negative slope. The body is:

Difficulty: Easy-Medium · Topic: Graphical Analysis

Solution

Negative slope in v-t graph means negative acceleration (deceleration). The body is slowing down.

Q4. A stone is dropped from a height of 80 m. How long does it take to reach the ground? (g = 10 m/s²)

Difficulty: Easy-Medium · Topic: Free Fall

Solution

Using h = ½gt²: 80 = ½(10)t², t² = 16, t = 4 s.

Q5. A body starts with velocity 0 m/s and accelerates at 2 m/s². Its velocity after 5 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 0 + 2×5 = 10 m/s.

Q6. A body starts with velocity 0 m/s and accelerates at 2 m/s². The distance covered in 5 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 0×5 + ½×2×5² = 25 m.

Q7. A body starts with velocity 0 m/s and accelerates at 4 m/s². Its velocity after 3 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 0 + 4×3 = 12 m/s.

Q8. A body starts with velocity 0 m/s and accelerates at 4 m/s². The distance covered in 3 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 0×3 + ½×4×3² = 18 m.

Q9. A body starts with velocity 0 m/s and accelerates at 10 m/s². Its velocity after 2 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 0 + 10×2 = 20 m/s.

Q10. A body starts with velocity 0 m/s and accelerates at 10 m/s². The distance covered in 2 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 0×2 + ½×10×2² = 20 m.

Q11. A body starts with velocity 10 m/s and accelerates at 2 m/s². Its velocity after 5 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 10 + 2×5 = 20 m/s.

Q12. A body starts with velocity 10 m/s and accelerates at 2 m/s². The distance covered in 5 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 10×5 + ½×2×5² = 75 m.

Q13. A body starts with velocity 20 m/s and accelerates at 3 m/s². Its velocity after 4 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 20 + 3×4 = 32 m/s.

Q14. A body starts with velocity 20 m/s and accelerates at 3 m/s². The distance covered in 4 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 20×4 + ½×3×4² = 104 m.

Q15. A body starts with velocity 5 m/s and accelerates at 5 m/s². Its velocity after 6 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 5 + 5×6 = 35 m/s.

Q16. A body starts with velocity 5 m/s and accelerates at 5 m/s². The distance covered in 6 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 5×6 + ½×5×6² = 120 m.

Q17. A body starts with velocity 0 m/s and accelerates at 3 m/s². Its velocity after 8 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 0 + 3×8 = 24 m/s.

Q18. A body starts with velocity 0 m/s and accelerates at 3 m/s². The distance covered in 8 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 0×8 + ½×3×8² = 96 m.

Q19. A body starts with velocity 15 m/s and accelerates at 2 m/s². Its velocity after 3 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 15 + 2×3 = 21 m/s.

Q20. A body starts with velocity 15 m/s and accelerates at 2 m/s². The distance covered in 3 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 15×3 + ½×2×3² = 54 m.

Q21. A body starts with velocity 0 m/s and accelerates at 6 m/s². Its velocity after 4 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 0 + 6×4 = 24 m/s.

Q22. A body starts with velocity 0 m/s and accelerates at 6 m/s². The distance covered in 4 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 0×4 + ½×6×4² = 48 m.

Q23. A body starts with velocity 0 m/s and accelerates at 8 m/s². Its velocity after 3 seconds is:

Difficulty: Easy-Medium · Topic: Uniform Acceleration

Solution

v = u + at = 0 + 8×3 = 24 m/s.

Q24. A body starts with velocity 0 m/s and accelerates at 8 m/s². The distance covered in 3 seconds is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ut + ½at² = 0×3 + ½×8×3² = 36 m.

Q25. A stone is dropped from height 20 m. Time to reach ground is (g=10 m/s²):

Difficulty: Easy-Medium · Topic: Free Fall

Solution

h = ½gt². 20 = 5t². t = √(20/5) = 2.0 s.

Q26. A stone is dropped from height 45 m. Time to reach ground is (g=10 m/s²):

Difficulty: Easy-Medium · Topic: Free Fall

Solution

h = ½gt². 45 = 5t². t = √(45/5) = 3.0 s.

Q27. A stone is dropped from height 80 m. Time to reach ground is (g=10 m/s²):

Difficulty: Easy-Medium · Topic: Free Fall

Solution

h = ½gt². 80 = 5t². t = √(80/5) = 4.0 s.

Q28. A stone is dropped from height 125 m. Time to reach ground is (g=10 m/s²):

Difficulty: Easy-Medium · Topic: Free Fall

Solution

h = ½gt². 125 = 5t². t = √(125/5) = 5.0 s.

Q29. A stone is dropped from height 180 m. Time to reach ground is (g=10 m/s²):

Difficulty: Easy-Medium · Topic: Free Fall

Solution

h = ½gt². 180 = 5t². t = √(180/5) = 6.0 s.

Q30. A stone is dropped from height 5 m. Time to reach ground is (g=10 m/s²):

Difficulty: Easy-Medium · Topic: Free Fall

Solution

h = ½gt². 5 = 5t². t = √(5/5) = 1.0 s.

Q31. A stone is dropped from height 320 m. Time to reach ground is (g=10 m/s²):

Difficulty: Easy-Medium · Topic: Free Fall

Solution

h = ½gt². 320 = 5t². t = √(320/5) = 8.0 s.

Q32. A car starts from rest and accelerates at 2 m/s² for 3 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×2×9 = 9.0 m.

Q33. A car starts from rest and accelerates at 3 m/s² for 4 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×3×16 = 24.0 m.

Q34. A car starts from rest and accelerates at 4 m/s² for 5 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×4×25 = 50.0 m.

Q35. A car starts from rest and accelerates at 5 m/s² for 6 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×5×36 = 90.0 m.

Q36. A car starts from rest and accelerates at 6 m/s² for 7 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×6×49 = 147.0 m.

Q37. A car starts from rest and accelerates at 7 m/s² for 8 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×7×64 = 224.0 m.

Q38. A car starts from rest and accelerates at 8 m/s² for 9 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×8×81 = 324.0 m.

Q39. A car starts from rest and accelerates at 9 m/s² for 10 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×9×100 = 450.0 m.

Q40. A car starts from rest and accelerates at 10 m/s² for 11 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×10×121 = 605.0 m.

Q41. A car starts from rest and accelerates at 11 m/s² for 12 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×11×144 = 792.0 m.

Q42. A car starts from rest and accelerates at 12 m/s² for 13 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×12×169 = 1014.0 m.

Q43. A car starts from rest and accelerates at 13 m/s² for 14 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×13×196 = 1274.0 m.

Q44. A car starts from rest and accelerates at 14 m/s² for 15 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×14×225 = 1575.0 m.

Q45. A car starts from rest and accelerates at 15 m/s² for 16 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×15×256 = 1920.0 m.

Q46. A car starts from rest and accelerates at 16 m/s² for 17 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×16×289 = 2312.0 m.

Q47. A car starts from rest and accelerates at 17 m/s² for 18 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×17×324 = 2754.0 m.

Q48. A car starts from rest and accelerates at 18 m/s² for 19 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×18×361 = 3249.0 m.

Q49. A car starts from rest and accelerates at 19 m/s² for 20 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×19×400 = 3800.0 m.

Q50. A car starts from rest and accelerates at 20 m/s² for 21 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×20×441 = 4410.0 m.

Q51. A car starts from rest and accelerates at 21 m/s² for 22 s. The distance covered is:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s = ½at² = 0.5×21×484 = 5082.0 m.

Q52. Body with u=0 m/s, a=1 m/s² covers distance in 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*2+0.5*1*2²=2 m.

Q53. Body with u=0 m/s, a=1 m/s², velocity after 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+1*2=2 m/s.

Q54. Body with u=0 m/s, a=1 m/s² covers distance in 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*3+0.5*1*3²=4 m.

Q55. Body with u=0 m/s, a=1 m/s², velocity after 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+1*3=3 m/s.

Q56. Body with u=0 m/s, a=1 m/s² covers distance in 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*4+0.5*1*4²=8 m.

Q57. Body with u=0 m/s, a=1 m/s², velocity after 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+1*4=4 m/s.

Q58. Body with u=0 m/s, a=1 m/s² covers distance in 5s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*5+0.5*1*5²=12 m.

Q59. Body with u=0 m/s, a=1 m/s², velocity after 5s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+1*5=5 m/s.

Q60. Body with u=0 m/s, a=1 m/s² covers distance in 6s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*6+0.5*1*6²=18 m.

Q61. Body with u=0 m/s, a=1 m/s², velocity after 6s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+1*6=6 m/s.

Q62. Body with u=0 m/s, a=1 m/s² covers distance in 8s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*8+0.5*1*8²=32 m.

Q63. Body with u=0 m/s, a=1 m/s², velocity after 8s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+1*8=8 m/s.

Q64. Body with u=0 m/s, a=2 m/s² covers distance in 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*2+0.5*2*2²=4 m.

Q65. Body with u=0 m/s, a=2 m/s², velocity after 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+2*2=4 m/s.

Q66. Body with u=0 m/s, a=2 m/s² covers distance in 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*3+0.5*2*3²=9 m.

Q67. Body with u=0 m/s, a=2 m/s², velocity after 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+2*3=6 m/s.

Q68. Body with u=0 m/s, a=2 m/s² covers distance in 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*4+0.5*2*4²=16 m.

Q69. Body with u=0 m/s, a=2 m/s², velocity after 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+2*4=8 m/s.

Q70. Body with u=0 m/s, a=2 m/s² covers distance in 5s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*5+0.5*2*5²=25 m.

Q71. Body with u=0 m/s, a=2 m/s², velocity after 5s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+2*5=10 m/s.

Q72. Body with u=0 m/s, a=2 m/s² covers distance in 6s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*6+0.5*2*6²=36 m.

Q73. Body with u=0 m/s, a=2 m/s², velocity after 6s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+2*6=12 m/s.

Q74. Body with u=0 m/s, a=2 m/s² covers distance in 8s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*8+0.5*2*8²=64 m.

Q75. Body with u=0 m/s, a=2 m/s², velocity after 8s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+2*8=16 m/s.

Q76. Body with u=0 m/s, a=3 m/s² covers distance in 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*2+0.5*3*2²=6 m.

Q77. Body with u=0 m/s, a=3 m/s², velocity after 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+3*2=6 m/s.

Q78. Body with u=0 m/s, a=3 m/s² covers distance in 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*3+0.5*3*3²=13 m.

Q79. Body with u=0 m/s, a=3 m/s², velocity after 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+3*3=9 m/s.

Q80. Body with u=0 m/s, a=3 m/s² covers distance in 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*4+0.5*3*4²=24 m.

Q81. Body with u=0 m/s, a=3 m/s², velocity after 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+3*4=12 m/s.

Q82. Body with u=0 m/s, a=3 m/s² covers distance in 5s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*5+0.5*3*5²=37 m.

Q83. Body with u=0 m/s, a=3 m/s², velocity after 5s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+3*5=15 m/s.

Q84. Body with u=0 m/s, a=3 m/s² covers distance in 6s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*6+0.5*3*6²=54 m.

Q85. Body with u=0 m/s, a=3 m/s², velocity after 6s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+3*6=18 m/s.

Q86. Body with u=0 m/s, a=3 m/s² covers distance in 8s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*8+0.5*3*8²=96 m.

Q87. Body with u=0 m/s, a=3 m/s², velocity after 8s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+3*8=24 m/s.

Q88. Body with u=0 m/s, a=4 m/s² covers distance in 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*2+0.5*4*2²=8 m.

Q89. Body with u=0 m/s, a=4 m/s², velocity after 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+4*2=8 m/s.

Q90. Body with u=0 m/s, a=4 m/s² covers distance in 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*3+0.5*4*3²=18 m.

Q91. Body with u=0 m/s, a=4 m/s², velocity after 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+4*3=12 m/s.

Q92. Body with u=0 m/s, a=4 m/s² covers distance in 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*4+0.5*4*4²=32 m.

Q93. Body with u=0 m/s, a=4 m/s², velocity after 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+4*4=16 m/s.

Q94. Body with u=0 m/s, a=4 m/s² covers distance in 5s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*5+0.5*4*5²=50 m.

Q95. Body with u=0 m/s, a=4 m/s², velocity after 5s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+4*5=20 m/s.

Q96. Body with u=0 m/s, a=4 m/s² covers distance in 6s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*6+0.5*4*6²=72 m.

Q97. Body with u=0 m/s, a=4 m/s², velocity after 6s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+4*6=24 m/s.

Q98. Body with u=0 m/s, a=4 m/s² covers distance in 8s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*8+0.5*4*8²=128 m.

Q99. Body with u=0 m/s, a=4 m/s², velocity after 8s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+4*8=32 m/s.

Q100. Body with u=0 m/s, a=5 m/s² covers distance in 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*2+0.5*5*2²=10 m.

Q101. Body with u=0 m/s, a=5 m/s², velocity after 2s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+5*2=10 m/s.

Q102. Body with u=0 m/s, a=5 m/s² covers distance in 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*3+0.5*5*3²=22 m.

Q103. Body with u=0 m/s, a=5 m/s², velocity after 3s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

v=u+at=0+5*3=15 m/s.

Q104. Body with u=0 m/s, a=5 m/s² covers distance in 4s:

Difficulty: Easy-Medium · Topic: Kinematics

Solution

s=ut+½at²=0*4+0.5*5*4²=40 m.

Q105. A car accelerates from rest at 2 m/s² for 5 seconds, then moves at constant velocity for 10 seconds, then decelerates at 4 m/s² to rest. The total distance covered is:

Difficulty: Medium · Topic: Multi-phase Motion

Solution

Phase 1: s₁ = ½(2)(25) = 25 m, v = 10 m/s. Phase 2: s₂ = 10(10) = 100 m. Phase 3: v² = 2(4)s₃, s₃ = 100/8 = 12.5 m. Total = 25 + 100 + 12.5 = 137.5 m. Wait let me redo: Phase 3: 0 = 10² - 2(4)s, s = 100/8 = 12.5. Total = 25+100+12.5 = 137.5 m.

Other Chapters in Physics

Ch 1: Physical WorldCh 2: Units & MeasurementsCh 4: Motion in a PlaneCh 5: Laws of MotionCh 6: Work Energy & PowerCh 7: System of ParticlesCh 8: GravitationCh 9: Mechanical Properties of SolidsCh 10: Mechanical Properties of FluidsCh 11: Thermal Properties of MatterCh 12: ThermodynamicsCh 13: Kinetic TheoryCh 14: OscillationsCh 15: Waves

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