Motion Part 4: MCQs (Q76–Q100)

🚀 Motion – Class 9 Science MCQs

Section 4: Equations of Motion & Numericals/Applications (Q76–Q100)

Q76. The first equation of motion is:

A. $v=u+atv = u + at$
B. $s=ut+12at2s = ut + \tfrac{1}{2}at^2$
C. $v2-u2=2asv^2 - u^2 = 2as$
D. $F=maF = ma$

✅ Correct Answer: A. $v=u+atv = u + at$

Explanation:

A. Correct, first equation of motion.
B. That’s second equation.
C. That’s third equation.
D. Newton’s second law.

Q77. The second equation of motion is:

A. $v=u+atv = u + at$
B. $s=ut+12at2s = ut + \tfrac{1}{2}at^2$
C. $v2-u2=2asv^2 - u^2 = 2as$
D. $F=maF = ma$

✅ Correct Answer: B. $s=ut+12at2s = ut + \tfrac{1}{2}at^2$

Q78. The third equation of motion is:

A. $v2-u2=2asv^2 - u^2 = 2as$
B. $v=u+atv = u + at$
C. $s=ut+12at2s = ut + \tfrac{1}{2}at^2$
D. $F=maF = ma$

✅ Correct Answer: A. $v2-u2=2asv^2 - u^2 = 2as$

Q79. In the equation $v=u+atv = u + at$ , ‘u’ stands for:

A. Final velocity
B. Distance
C. Initial velocity
D. Acceleration

✅ Correct Answer: C. Initial velocity

Q80. In the equation $s=ut+12at2s = ut + \tfrac{1}{2}at^2$ , ‘s’ stands for:

A. Speed
B. Acceleration
C. Displacement
D. Time

✅ Correct Answer: C. Displacement

Q81. A car starts from rest (u = 0) and accelerates at 2 m/s² for 5 s. Final velocity = ?

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

✅ Correct Answer: D. 20 m/s

Explanation:

$v=u+at=0+2\times5=10m/sv = u + at = 0 + 2 \times 5 = 10 m/s$ .
Oops correction → Actually 0 + (2×5) = 10 m/s, not 20.
✅ Correct Answer should be B. 10 m/s

Q82. A body accelerates uniformly from 4 m/s to 20 m/s in 8 s. Acceleration = ?

A. 1.5 m/s²
B. 2.0 m/s²
C. 2.5 m/s²
D. 3.0 m/s²

✅ Correct Answer: B. 2.0 m/s²

Explanation:

$a=(v−u)/t=(20−4)/8=16/8=2.0 m/s2a = (v – u)/t = (20 – 4)/8 = 16/8 = 2.0 \, m/s²$ .

Q83. A stone falls freely for 2 s. Distance covered = ? (g = 10 m/s²)

A. 10 m
B. 20 m
C. 30 m
D. 40 m

✅ Correct Answer: B. 20 m

Explanation:

$s=12gt2=0.5×10×22=20ms = \tfrac{1}{2}gt^2 = 0.5 × 10 × 2^2 = 20 m$ .

Q84. A ball is thrown upwards with 20 m/s. Time to reach highest point? (g = 10 m/s²)

A. 1 s
B. 2 s
C. 3 s
D. 4 s

✅ Correct Answer: B. 2 s

Explanation:

At top, v = 0 → $0=u-gt0 = u - g t$ → $t=u/g=20/10=2t = u/g = 20/10 = 2$ s.

Q85. The acceleration due to gravity (g) on Earth is:

A. 8.9 m/s²
B. 9.8 m/s²
C. 10.8 m/s²
D. 8.0 m/s²

✅ Correct Answer: B. 9.8 m/s²

Q86. A train moves with uniform acceleration. Initial velocity = 5 m/s, acceleration = 2 m/s², time = 10 s. Final velocity = ?

A. 15 m/s
B. 20 m/s
C. 25 m/s
D. 30 m/s

✅ Correct Answer: D. 25 m/s

Explanation:

$v=u+at=5+2\times10=25m/sv = u + at = 5 + 2 \times 10 = 25 m/s$ .

Q87. In uniform acceleration, average velocity = ?

A. (u + v)/2
B. (u – v)/2
C. u + at/2
D. v – at/2

✅ Correct Answer: A. (u + v)/2

Q88. A body moves with u = 0, a = 4 m/s², t = 5 s. Distance covered = ?

A. 25 m
B. 40 m
C. 50 m
D. 100 m

✅ Correct Answer: D. 100 m

Explanation:

$s=ut+½at2=0+0.5\times4\times25=50m s = ut + ½ at^2 = 0 + 0.5 \times 4 \times 25 = 50 m$ .
Correction → ½ × 4 × 25 = 50 m, not 100.
✅ Correct Answer: C. 50 m

Q89. Which equation of motion is independent of time?

A. $v=u+atv = u + at$
B. $s=ut+12at2s = ut + \tfrac{1}{2}at^2$
C. $v2-u2=2asv^2 - u^2 = 2as$
D. None

✅ Correct Answer: C. $v2-u2=2asv^2 - u^2 = 2as$

Q90. A body moving with velocity 10 m/s comes to rest in 5 s. Retardation = ?

A. –2 m/s²
B. –5 m/s²
C. –10 m/s²
D. –20 m/s²

✅ Correct Answer: B. –2 m/s²

Explanation:

$a=(v-u)/t=(0-10)/5=-2m/s2a = (v - u)/t = (0 - 10)/5 = -2 m/s²$ .

Q91. Which of the following does NOT change with direction?

A. Velocity
B. Acceleration
C. Speed
D. Displacement

✅ Correct Answer: C. Speed

Q92. If a body covers 100 m in 50 s, average speed = ?

A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s

✅ Correct Answer: B. 2 m/s

Explanation:

Speed = distance/time = 100/50 = 2 m/s.

Q93. Which motion is described by equations of motion?

A. Uniform motion
B. Uniformly accelerated motion
C. Random motion
D. Circular motion

✅ Correct Answer: B. Uniformly accelerated motion

Q94. A body thrown upwards with velocity u returns to same point in total time:

A. u/g
B. 2u/g
C. u/2g
D. g/u

✅ Correct Answer: B. 2u/g

Explanation:

Upward time = u/g, total = 2u/g.

Q95. A particle moving in circular path at constant speed has:

A. Zero velocity
B. Uniform velocity
C. Changing velocity
D. Zero acceleration

✅ Correct Answer: C. Changing velocity

Explanation:

Speed constant, direction changes → velocity changes.

Q96. The graph of displacement vs time for uniform velocity is:

A. Straight line
B. Curve
C. Horizontal line
D. Zigzag

✅ Correct Answer: A. Straight line

Q97. A stone is dropped from 45 m. Time taken to reach ground? (g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

✅ Correct Answer: B. 3 s

Explanation:

( s = ½ gt^2 → 45 = 5t^2 → t^2 = 9 → t = 3 s.**

Q98. In a velocity-time graph, the area under the curve gives:

A. Displacement
B. Acceleration
C. Speed
D. Force

✅ Correct Answer: A. Displacement

Q99. Which graph represents non-uniform acceleration?

A. Straight line velocity-time graph
B. Curved velocity-time graph
C. Straight line displacement-time graph
D. Straight line speed-time graph

✅ Correct Answer: B. Curved velocity-time graph

Q100. If a car accelerates from rest at 4 m/s², distance covered in 5 s = ?

A. 20 m
B. 25 m
C. 50 m
D. 100 m

✅ Correct Answer: D. 100 m

Explanation:

$s=ut+½at2=0+0.5\times4\times25=50ms = ut + ½ at^2 = 0 + 0.5 \times 4 \times 25 = 50 m$ .
Correction → Actually ½ × 4 × 25 = 50 m.
✅ Correct Answer: C. 50 m

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Motion Part 4: MCQs (Q76–Q100)

🚀 Motion – Class 9 Science MCQs

Section 4: Equations of Motion & Numericals/Applications (Q76–Q100)

Q76. The first equation of motion is:

Q77. The second equation of motion is:

Q78. The third equation of motion is:

Q79. In the equation v=u+atv = u + at, ‘u’ stands for:

Q80. In the equation s=ut+12at2s = ut + \tfrac{1}{2}at^2, ‘s’ stands for:

Q81. A car starts from rest (u = 0) and accelerates at 2 m/s² for 5 s. Final velocity = ?

Q82. A body accelerates uniformly from 4 m/s to 20 m/s in 8 s. Acceleration = ?

Q83. A stone falls freely for 2 s. Distance covered = ? (g = 10 m/s²)

Q84. A ball is thrown upwards with 20 m/s. Time to reach highest point? (g = 10 m/s²)

Q85. The acceleration due to gravity (g) on Earth is:

Q86. A train moves with uniform acceleration. Initial velocity = 5 m/s, acceleration = 2 m/s², time = 10 s. Final velocity = ?

Q87. In uniform acceleration, average velocity = ?

Q88. A body moves with u = 0, a = 4 m/s², t = 5 s. Distance covered = ?

Q89. Which equation of motion is independent of time?

Q90. A body moving with velocity 10 m/s comes to rest in 5 s. Retardation = ?

Q91. Which of the following does NOT change with direction?

Q92. If a body covers 100 m in 50 s, average speed = ?

Q93. Which motion is described by equations of motion?

Q94. A body thrown upwards with velocity u returns to same point in total time:

Q95. A particle moving in circular path at constant speed has:

Q96. The graph of displacement vs time for uniform velocity is:

Q97. A stone is dropped from 45 m. Time taken to reach ground? (g = 10 m/s²)

Q98. In a velocity-time graph, the area under the curve gives:

Q99. Which graph represents non-uniform acceleration?

Q100. If a car accelerates from rest at 4 m/s², distance covered in 5 s = ?

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Q79. In the equation $v=u+atv = u + at$ , ‘u’ stands for:

Q80. In the equation $s=ut+12at2s = ut + \tfrac{1}{2}at^2$ , ‘s’ stands for: