Motion in a Straight Line — DPP 1

20 NEET questions from Motion in a Straight Line, with answers and explanations. Attempt it as a timed test to get scoring, accuracy breakdown and mistake tracking.

Attempt this test free 20 questions · 30 minutes · +80 marks
1
A car moving along a straight highway with speed $126 \mathrm { kmh } ^ { - 1 }$ is brought to a halt within a distance of 200 m. What is the retardation of the car (assume uniform) and how long does it take for the car to stop?
  1. A $3.06 \mathrm {~ms} ^ { - 2 } ; 11.4 \mathrm {~s}$
  2. B $3.06 \mathrm {~ms} ^ { - 2 } ; 1.14 \mathrm {~s}$
  3. C $30.6 \mathrm {~ms} ^ { - 2 } ; 11.4 \mathrm {~s}$
  4. D $30.6 \mathrm {~ms} ^ { - 2 } ; 1.14 \mathrm {~s}$
Show answer

Correct answer: A

2
The variation of velocity of a particle moving along a straight line is illustrated in the figure. The distance traversed by the particle in first 3 seconds is
Motion in a Straight Line – NEET-17637
  1. A 60 m
  2. B 45 m
  3. C 55 m
  4. D 30 m
Show answer

Correct answer: B

3
Which one of the following curves does not represent motion in one dimension:
  1. A
  2. B
  3. C
  4. D
Show answer & explanation

Correct answer: B

There cannot be two value of velocity of a particle at a particular instant of time.
Therefore, option (B) is the correct answer.
4
A particle is dropped from the top of a tower. The distance covered by it in the last one second is equal to that covered by it in the first three seconds. Find the height of the tower.
  1. A 115 m
  2. B 125 m
  3. C 135 m
  4. D 145 m
Show answer

Correct answer: B

5
A particle is dropped from the top of a tower. It covers 40 m in last 2s. Find the height of the tower.
  1. A 42 m
  2. B 44 m
  3. C 45 m
  4. D 47 m
Show answer

Correct answer: C

6
Find the average acceleration of the block from time t = 2 sec to t = 4 sec.
Motion in a Straight Line – NEET-17638
  1. A $5 \mathrm {~m} / \mathrm { s } ^ { 2 }$
  2. B $10 \mathrm {~m} / \mathrm { s } ^ { 2 }$
  3. C $- 5 \mathrm {~m} / \mathrm { s } ^ { 2 }$
  4. D $- 10 \mathrm {~m} / \mathrm { s } ^ { 2 }$
Show answer

Correct answer: C

7
An object is projected upwards with a velocity of 100 m/s. It will strike the ground after (approximately)
  1. A 10 sec
  2. B 20 sec
  3. C 15 sec
  4. D 5 sec
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Correct answer: B

8
A person travelling in a straight line moves with a constant velocity $v _ { 1 }$ for certain distance 'x' and with a constant velocity $v _ { 2 }$ for next equal distance. The average velocity v is given by the relation
  1. A $\frac { 1 } { v } = \frac { 1 } { v _ { 1 } } + \frac { 1 } { v _ { 2 } }$
  2. B $\frac { 2 } { v } = \frac { 1 } { v _ { 1 } } + \frac { 1 } { v _ { 2 } }$
  3. C $\frac { v } { 2 } = \frac { v _ { 1 } + v _ { 2 } } { 2 }$
  4. D $v = \sqrt { v _ { 1 } v _ { 2 } }$
Show answer

Correct answer: B

9
Mark the incorrect statement among the following.
(i) A particle can have zero velocity and non-zero acceleration.
(ii) A particle can have zero displacement and non-zero velocity.
(iii) A particle can have zero acceleration and non-zero velocity.
(iv) A particle can have zero displacement and non-zero average velocity.
  1. A (i)
  2. B (ii)
  3. C (iii)
  4. D (iv)
Show answer

Correct answer: D

10
The displacement of a particle, starting from rest (at t = 0) is given by $\mathrm { s } = 6 t ^ { 2 } - t ^ { 3 }$. The time in seconds at which the particle will obtain zero velocity again is:
  1. A 2
  2. B 4
  3. C 6
  4. D 8
Show answer & explanation

Correct answer: B

$\begin{array}{l}\mathrm{s}=6 \mathrm{t}^{2}-\mathrm{t}^{3} \\ \frac{d s}{d t}=12 t-3 t^{2} \Rightarrow \quad v=12 \mathrm{t}-3 \mathrm{t}^{2}=0 \\ 3 \mathrm{t}(4-\mathrm{t})=0 \quad \Rightarrow \quad \mathrm{t}=4,0\end{array}$
Therefore, option (B) is the correct answer.
11
A particle goes from point A to point B, moving in a semicircle of radius 1 m in 1 second. Find the magnitude of its average velocity.
Motion in a Straight Line – NEET-17579
  1. A 1 m/s
  2. B 2 m/s
  3. C 3 m/s
  4. D 4 m/s
Show answer

Correct answer: B

12
A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at $3 \mathrm {~ms} ^ { - 2 }$. He reaches the ground with a speed of $3 \mathrm {~ms} ^ { - 1 }$. At what height, did he bail out?
  1. A 91 m
  2. B 182 m
  3. C 215 m
  4. D 111 m
Show answer & explanation

Correct answer: C

Velocity attained after falling 50 m freely,
$\begin{array}{l}2 g s=v^{2}-u^{2} \\ 2 \times 10 \times 50=v^{2}-0^{2} \Rightarrow v=10 \sqrt{10} \mathrm{~m} / \mathrm{s}\end{array}$
Now, distance traveled with $\mathrm{a}=-3 \mathrm{~m} / \mathrm{s}^{2}, \mathrm{v}=3 \mathrm{~m} / \mathrm{s}$
$\begin{array}{l}u=10 \sqrt{10} \mathrm{~m} / \mathrm{s}, 2 \mathrm{as}=\mathrm{v}^{2}-\mathrm{u}^{2} \\ 2 \times(-3) \times s=3^{2}-(10 \sqrt{10})^{2} \\ 6 \mathrm{~s}=991 \Rightarrow \mathrm{~s}=991 / 6=165.1 \mathrm{~m}\end{array}$
∴ Total distance traveled = 165 + 50 = 215 m
Therefore, option (C) is the correct answer.
13
The velocity of a body depends on time according to the equation v = 20 + 0.1t$^{2}$. The body is undergoing:
  1. A Uniform acceleration
  2. B Non-uniform acceleration
  3. C Retardation
  4. D Zero acceleration
Show answer & explanation

Correct answer: B

$\begin{array}{l}\mathrm{v}=20+0.1 \mathrm{t}^{2} \\ \mathrm{a}=\frac{d v}{d t}=2(0.1) t=0.2 \mathrm{t}\end{array}$
Since a ∝ t
∴ Non-uniform acceleration
Therefore, option (B) is the correct answer.
14
A particle starts from rest and moves with a constant acceleration from left to right as shown in the figure. What is ratio of distances $S _ { 1 } : S _ { 2 } : S _ { 3 }$?
Motion in a Straight Line – NEET-17601
  1. A 1 : 1 : 1
  2. B 1 : 3 : 5
  3. C 1 : 5 : 7
  4. D 3 : 5 : 6
Show answer

Correct answer: B

15
The numerical ratio of displacement to the distance covered is always:
  1. A less than one
  2. B equal to one
  3. C equal to or less than one
  4. D equal to or greater than one
Show answer

Correct answer: C

16
The variation of velocity of a particle moving along a straight line is shown in figure. The distance travelled by the particle in 12 s is:
Motion in a Straight Line – NEET-17636
  1. A 37.5 m
  2. B 32.5 m
  3. C 35.0 m
  4. D 41.5 m
Show answer

Correct answer: A

17
A car, starting from rest, accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates as the rate f/2 to come to rest. If the total distance traveled is 15 S, then:
  1. A S = ft
  2. B $S = \frac { 1 } { 6 } f t ^ { 2 }$
  3. C $S = \frac { 1 } { 72 } \mathrm { ft } ^ { 2 }$
  4. D $S = \frac { 1 } { 144 } f t ^ { 2 }$
Show answer

Correct answer: C

18
A rocket is fired vertically up from the ground with a resultant vertical acceleration of 10 m/s$^{2}$. The fuel is finished in 1 minute and it continues to move up. What is the maximum height reached?
  1. A 18 km
  2. B 36 km
  3. C 54 km
  4. D 72 km
Show answer

Correct answer: B

19
When a particle moves with variable velocity. Which of the following statements is not correct?
(i) Average speed = average velocity
(ii) Instantaneous speed = instantaneous velocity
(iii) Distance covered = magnitude of displacement
  1. A (i), (ii), (iii)
  2. B (i), (ii)
  3. C (ii), (iii)
  4. D (i), (iii)
Show answer

Correct answer: D

20
Water drops are falling in regular intervals of time from top of a tower of height 9 m . If $4 ^ { \text {th } }$ drop begins to fall when $1 ^ { \text {st } }$ drop reaches the ground, find the positions of $3 ^ { \text {rd } }$ drops from the top of the tower.
  1. A 1 m
  2. B 2 m
  3. C 3 m
  4. D 4 m
Show answer

Correct answer: A

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