Motion in a Straight Line — DPP 3

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 particle moves in a straight line and its position x at time t is given by $x ^ { 2 } = 2 + t$. Its acceleration is given by
  1. A $\frac { - 2 } { x ^ { 3 } }$
  2. B $- \frac { 1 } { 4 x ^ { 3 } }$
  3. C $- \frac { 1 } { 4 x ^ { 2 } }$
  4. D $\frac { 1 } { x ^ { 2 } }$
Show answer

Correct answer: B

2
The slope of the tangent to the v-t curve gives the value of:
  1. A Instantaneous acceleration
  2. B Instantaneous velocity
  3. C Average acceleration
  4. D Centripetal acceleration
Show answer

Correct answer: A

3
An object is moving in a positive direction with a positive acceleration. The velocity-time graph with constant acceleration which represents the above situation is:
  1. A
  2. B
  3. C
  4. D (Arjuna NEET Physics M-1)
Show answer

Correct answer: A

4
A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of a cyclist is:
Motion in a Straight Line – NEET-17733
  1. A 6 km
  2. B $\sqrt { 8 } \mathrm {~km}$
  3. C 4 km
  4. D 8 km
Show answer

Correct answer: B

5
A lift is coming from $8 ^ { \text {th } }$ floor and is just about to reach $4 ^ { \text {th } }$ floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct?
  1. A x < 0 , v < 0 , a > 0
  2. B x > 0 , v < 0 , a < 0
  3. C x > 0 , v < 0 , a > 0
  4. D x > 0 , v > 0 , a < 0
Show answer

Correct answer: A

6
A ball thrown vertically upward with a speed of 19.6 m/s from the top of a tower returns to the earth in 6 seconds. What is the height of the tower?
  1. A 40 m
  2. B 58.8 m
  3. C 50 m
  4. D 70 m
Show answer

Correct answer: B

7
Assertion (A): The relative acceleration of two objects moving under the effect of gravity, is always zero irrespective of direction of motion.
Reason (R): The acceleration of object moving under the effect of gravity have acceleration always in downward direction and is independent from size and mass of object.
  1. A Both Assertion (A) and Reason (R) are True and the Reason (R) is a correct explanation of the Assertion (A).
  2. B Both Assertion (A) and Reason (R) are True but Reason (R) is not a correct explanation of the Assertion (A).
  3. C Assertion (A) is True but the Reason (R) is False.
  4. D Assertion (A) is False but Reason (R) is True.
Show answer

Correct answer: A

8
A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during $8 ^ { \text {th } }$ second to that covered in 8 second is:
  1. A $\frac { 15 } { 60 }$
  2. B $\frac { 15 } { 64 }$
  3. C $\frac { 12 } { 15 }$
  4. D 1
Show answer

Correct answer: B

9
An athlete participates in a race, he is moving on a circular track of radius 80 m and completes half a revolution in 20 s. Its average velocity is:
  1. A 8 m/s
  2. B 16 m/s
  3. C 10 m/s
  4. D 12 m/s
Show answer

Correct answer: A

10
The acceleration a of the body starting from rest varies with time following the equation a = 8t + 5. The velocity of the body at time t = 2 sec will be:
  1. A 22 m/s
  2. B 26 m/s
  3. C 28 m/s
  4. D 30 m/s
Show answer

Correct answer: B

11
The position x of particle moving along x-axis varies with time t as $\mathrm { x } = A \sin ( \omega t )$ where A and ω are positive constants. The acceleration a of the particle varies with its position (x) as
  1. A a = Ax
  2. B $a = - \omega ^ { 2 } x$
  3. C a = Aωx
  4. D $a = - \omega ^ { 2 } \times A$
Show answer

Correct answer: B

12
The bus moving with a speed of 30 km/h is brought to a stop by applying brakes after 6 m. If the same bus is moving at a speed of 90 km/h, then the minimum stopping distance is:
  1. A 36 m
  2. B 45 m
  3. C 60 m
  4. D 54 m
Show answer

Correct answer: D

13
A car travel half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity of 80 kmph. The average velocity of the car is:
  1. A 32 km/hr
  2. B 53.3 km/hr
  3. C 43.2 km/hr
  4. D 42 km/hr
Show answer

Correct answer: B

14
Which one of the following graphs for a body moving along a straight line is not possible?
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer: D

15
The motion of a particle is described by the equation $\mathrm { x } = \mathrm { a } + \mathrm { bt } ^ { 2 }$, where $\mathrm { a } = 10 \mathrm {~cm} , \mathrm {~b} = 15 \mathrm { cms } ^ { - 2 }$. Its instantaneous velocity at t = 3 second will be?
  1. A $10 \mathrm { cms } ^ { - 1 }$
  2. B $20 \mathrm { cms } ^ { - 1 }$
  3. C $60 \mathrm { cms } ^ { - 1 }$
  4. D $90 \mathrm { cms } ^ { - 1 }$
Show answer

Correct answer: D

16
The initial velocity of a particle is 10 m/s, and the retardation is 2 m/s$^{2}$. The distance covered in the fifth second of the motion will be:
  1. A 2 m
  2. B 1 m
  3. C 50 m
  4. D 75 m
Show answer & explanation

Correct answer: B

$\begin{array}{l}S_{4}=10 \times 4-\frac{1}{2} \times 2 \times 16=40-16=24 \\ S_{5}=10 \times 5-\frac{1}{2} \times 2 \times 25=50-25=25 \\ \therefore S \text { in } 5^{\text {th }} \text { second }=25-24=1 \mathrm{~m}\end{array}$
Therefore, option (B) is the correct answer.
17
Find the distance traveled by body in 4 seconds:
Motion in a Straight Line – NEET-17690
  1. A 70 m
  2. B 60 m
  3. C 40 m
  4. D 55 m
Show answer & explanation

Correct answer: D

Distance = Area under graph
$=\left(\frac{1}{2} \times 1 \times 20\right)+(1 \times 20)+\left(\frac{1}{2}(30) \times 1\right)+(10 \times 1)$
S = 10 + 20 + 15 + 10 = 55 m
Therefore, option (D) is the correct answer.
18
A body thrown vertically upwards with a speed of $19.6 \mathrm {~ms} ^ { - 1 }$ from the top of a tower returns to the earth in 10 seconds. What will be the height of tower? ($g = 10 \mathrm {~m} / \mathrm { s } ^ { 2 }$)
  1. A 304 m
  2. B 308 m
  3. C 310 m
  4. D 312 m
Show answer

Correct answer: A

19
A particle moves for 50 seconds if first accelerates from rest and then retard or deaccelerates to rest. If the retardation be 5 times the acceleration then the time for retardation is:
  1. A 25/3 second
  2. B 50/3 second
  3. C 25 second
  4. D 100/3 second
Show answer

Correct answer: A

20
A player throws a ball upwards that reaches in his hands in 4 s. If the height of player is 1.5 m, the maximum height attained by the ball from the ground level is:
  1. A 19.6 m
  2. B 21.1 m
  3. C 23.6 m
  4. D 25.1 m
Show answer

Correct answer: B

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