Motion in a Straight Line - NCERT Based MCQ Questions for NEET

This article contains NCERT based 45 MCQ questions test on Physics chapter "Motion in a Straight Line". These questions are highly valuable for the NEET exam. You can attempt these questions in the form of an interactive quiz and calculate your score. Read the below quiz rules carefully before you start

General Instructions

• Quiz contains 45 questions of 4 marks each.
• Correct answer (✔) will award you +4 marks and Incorrect answer (✘) will give you -1 mark.
• Total test is of 180 marks.
• Tap on box in order to select any option that you think is correct.
• Press the Submit button given in the end of quiz to calculate your score.
• There is a PDF file attached in the end of quiz. You can see detailed solutions to all questions and do self analysis from that file as well.

Question 1. A particle is moving in a straight line along xaxis, its position is given by x = 2t² + 2t + 4 where x is in metre and t in second, the

acceleration of the particle is –

(1) 2 m/s²

(2) 4 m/s²

(3) 6 m/s²

(4) 8 m/s²

1

2

3

4

Question 2. If the first one-third of a journey is travelled at 20km/hr, next one-third at 40 km/h and the last one-third at 60 km/h. The average speed of whole journey will be –

(1) 32.7 km/h

(2) 35 km/h

(3) 40 km/h

(4) 45 km/h

1

2

3

4

Question 3. A ball is thrown upwards, it takes 4s to reach back to the ground. Find its initial velocity –

(1) 30 m/s

(2) 10 m/s

(3) 40 m/s

(4) 20 m/s

1

2

3

4

Question 4. If relation between distance and time is s = a + bt + ct², find initial velocity and

acceleration

(1) b + 2ct, 2c

(2) b, 2c

(3) 2c, b

(4) b + 2c, 2c

1

2

3

4

Question 5. A police jeep is chasing with velocity of 45 km/h, a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity with which it will strike the jeep of the thief, is –

(1) 150 m/s

(2) 27 m/s

(3) 450 m/s

(4) 250 m/s

1

2

3

4

Question 6. A body falls from a height h = 200m. The ratio of distance travelled in each 2s, during t = 0 to t = 6s of the journey is–

(1) 1 : 4 : 9

(2) 1 : 2 : 4

(3) 1 : 3 : 5

(4) 1 : 2 : 3

1

2

3

4

Question 7. A point initially at rest moves along x-axis. Its acceleration varies with time as a = (6t + 5) m/s². If it starts from origin, the distance covered in 2s is

(1) 20m

(2) 18m

(3) 16m

(4) 25m

1

2

3

4

Question 8. A passenger in an automobile observes that raindrops make an angle of 30° with the horizontal as the auto travels forward with a speed of 60km/h. Compute the terminal (constant) velocity of the rain if it is assumed to fall vertically.

(1) 34.6 km/h

(2) 44.6 km/h

(3) 54.6 km/h

(4) 24.6 km/h

1

2

3

4

Question 9. A body moves with uniform acceleration, then which of the following graphs is correct –

1

2

3

4

Question 10. The displacement of a particle is represented by the following equation s = 3t³ + 7t² + 5t + 8 where s is in meter and t in second. The acceleration of the particle at t = 1s is –

(1) 14 m/s²

(2) 18 m/s²

(3) 32 m/s²

(4) zero

1

2

3

4

Question 11. A stone is thrown vertically upward. When particle is at a height half of its maximum height its speed is 10 m/s, then the maximum height attained by the particle is [g = 10 m/s²]

(1) 8m

(2) 10m

(3) 15m

(4) 20m

1

2

3

4

Question 12. A particle is moving in east direction with speed 5m/s after 10 sec it starts moving in north direction with same speed. Find average acceleration.

(1) 2 m/s²

(2) 1/√2 m/s²

(3) 1 m/s²

(4) zero

1

2

3

4

Question 13. If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is

(1) (u + gt) t

(2) ut

(3) ½ gt²

(4) ut – ½ gt²

1

2

3

4

Question 14. A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time- [Given g = 9.8 m/s²]

(1) Only with speed 19.6 m/s

(2) More than 19.6 m/s

(3) At least 9.8 m/s

(4) Any speed less than 19.6 m/s

1

2

3

4

Question 15. The displacement x of a particle varies with time t as x = ae^−αt + be^βt, where a, b, α and β are positive constants. The velocity of the particle will

(1) be independent of α and β

(2) drop to zero when α = β

(3) go on decreasing with time

(4) go on increasing with time

1

2

3

4

Question 16. A particle starts from rest with constant acceleration = 2m/s². Find displacement in 5th sec.

(1) 9 m

(2) 18 m

(3) 15 m

(4) 6 m

1

2

3

4

Question 17. A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t – t³. How long would the particle travel before coming to rest

(1) 40 m

(2) 56 m

(3) 16 m

(4) 24 m

1

2

3

4

Question 18. Two bodies, A (of mass 1 kg) and B (of mass 3kg), are dropped from heights of 16m and 25m, respectively. The ratio of the time taken by them to reach the ground is –

(1) 12/5

(2) 5/12

(3) 4/5

(4) 5/4

1

2

3

4

Question 19. The position x of a particle with respect to time t along x-axis is given by x = 9t² – t³ where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +x direction ?

(1) 54m

(2) 81m

(3) 24m

(4) 32m.

1

2

3

4

Question 20. A car moves from X to Y with a uniform speed v_u and returns to Y with a uniform speed v_d. The average speed for this round trip is –

1

2

3

4

For Q.21-Q.23

The velocity-time graph of a particle moving along a straight line is as shown in figure. The rate of acceleration and retardation is constant and is equal to 5 m/s². If the average velocity during the motion is 20m/s, then –

Question 21. The value of t is –

(1) 5s

(2) 10s

(3) 20s

(4) 5√2s

1

2

3

4

Question 22. The maximum velocity of the particle is –

(1) 20m/s

(2) 25m/s

(3) 30m/s

(4) 40m/s

1

2

3

4

Question 23. The distance travelled with uniform velocity is

(1) 375m

(2) 125m

(3) 300m

(4) 450m

1

2

3

4

Question 24. For a particle moving along x-axis, which of the velocity versus position graphs given in options below is/are possible (position is represented by x-coordinate of the particle)

(1) 

(2) 

(3) 

(4) None of these

1

2

3

4

Question 25. The acceleration versus time graph for a particle moving along a straight line is shown in the figure.

If the particle starts from rest at t = 0, then its speed at t = 30 sec. will be–

(1) 20m/sec

(2) 0 m/sec

(3) – 40 m/sec.

(4) 40 m/sec.

1

2

3

4

Question 26. A ball A is thrown vertically upward its speed u. At the same instant another ball B is released from rest at height h. At time t, the speed of A relative to B is –

(1) u

(2) u – 2gt

(3) (u² − 2gh)^½

(4) u – gt

1

2

3

4

Question 27. A boat crosses a river with a velocity of 8 km/h. If the resulting of boat is 10 km/h, then the velocity of river water is –

(1) 4 km/h

(2) 6 km/h

(3) 8 km/h

(4) 10 km/h

1

2

3

4

Question 28. Two trains A and B each of length 400 m are moving on two parallel tracks with a uniform speed 72 km h^-1 in the same direction with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m/s². If after 50 s, the guard of B just brushes past A, what was the original distance between them?

(1) 750 m

(2) 1000 m

(3) 1250 m

(4) 2250 m

1

2

3

4

Question 29. A body covers 20 m, 22 m, 24 m, in 8^th, 9^th and 10^th seconds respectively. The body starts

(1) from rest and moves with uniform velocity.

(2) from rest and moves with uniform acceleration.

(3) with an initial velocity and moves with uniform acceleration.

(4) with an initial velocity and moves with uniform velocity.

1

2

3

4

Question 30. A car is moving along a straight line OP as shown in the figure. It moves from O to P in 18s and returns from P to Q in 6s. Which of the following statements is not correct regarding the motion of the car?

(1) The average speed of the car in going from O to P and come back to Q is 20 m/s.

(2) The average velocity of the car in going from O to P and come back to Q is 10m/s.

(3) The average speed of the car in going from O to P and come back to O is 20 m/s.

(4) The average velocity of the car in going O to P and come back to O is 20 m/s.

1

2

3

4

Question 31. A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom, starting from rest at the top. How much time does it take to cover one-fourth the distance starting from rest at the top?

(1) 1 s

(2) 4 s

(3) 2s

(4) 16s

1

2

3

4

Question 32. A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0 m/s2 up to a speed of 36 km/h and the car at 0.5 m/s2 up to a speed of 54 km/h. The time at which the car would overtake the motorcycle is

(1) 20s

(2) 25s

(3) 30 s

(4) 35 s

1

2

3

4

Question 33. A car starts from rest, attains a velocity of 36 km h^-1 with an acceleration of 0.2 m/s², travels 9 km with this uniform velocity and then comes to halt with a uniform deceleration of 0.1 m/s². The total time of travel of the car is

(1) 1050 s

(2) 1000 s

(3) 950 s

(4) 900 s

1

2

3

4

Question 34. A car moving with a speed of 50 km h^-1 can be stopped by brakes after atleast 6m.If the same car is moving at a speed of 100 km h^-1 the minimum stopping distance is –

(1) 6 m

(2) 12 m

(3) 18 m

(4) 24 m

1

2

3

4

Question 35. From a building two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically). If vA and vB are their respective velocities on reaching the ground, then-

(1) v_B > v_B

(2) v_A = v_B

(3) v_A > v_B

(4) their velocities depends on their masses

1

2

3

4

Question 36. A body loses half of its velocity on penetrating 3cm in a wooden block, then how much will it penetrate more before coming to rest-

(1) 1 cm

(2) 2 cm

(3) 3 cm

(4) 4 cm

1

2

3

4

Question 37. A stone is dropped from the top of a tall cliff and n seconds later another stone is thrown vertically downwards with a velocity u. Then the second stone overtakes the first, below the top of the cliff at a distance given by –

1

2

3

4

Question 38. A ball is released from the top of a tower of height h metes. It takes T seconds to reach the ground. What is the position of the ball in T/3 second ?

(1) h/9 meter from the ground

(2) 7h/9 meter from the ground

(3) 8h/9 meter from the ground

(4) 17h/18 meter from the ground

1

2

3

4

Question 39. A ball is thrown vertically upwards from the ground. It crosses a point at the height of 25m twice at an interval of 4 sec. The ball was thrown with the velocity of –

(1) 20 m/sec.

(2) 25 m/sec.

(3) 30 m/sec.

(4) 35 m/sec.

1

2

3

4

Question 40. In 1.0s, a particle goes from point A to point B, moving in a semicircle (figure). The magnitude of the average velocity is –

(1) 3.14 m/s

(2) 2.0 m/s

(3) 1.0 m/s

(4) zero

1

2

3

4

Question 41. A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the ground as –

1

2

3

4

Question 42. Figure gives the speed-time graph of the motion of a car. What is the ratio of the

distance travelled by car during the first two seconds to the total distance travelled in seven seconds–

(1) 1/9

(2) 2/9

(3) 1/3

(4) 4/9

1

2

3

4

Question 43. A particle is moving along a straight line with a constant acceleration of –2ms^-2. It passes through a point A on the line with a velocity of 6ms^-1. Find the displacement from A of the particle after 5 seconds.

(1) 4m

(2) 5m

(3) 10m

(4) 13m

1

2

3

4

Question 44. The velocity of a particle is zero at t = 0.

(i) The acceleration at t = 0 must be zero.

(ii) The acceleration at t = 0 may be zero.

(iii) If the acceleration is zero from t = 0 to t=10s, speed is also zero in this interval.

(iv) If the speed is zero from t = 0 to t = 10s the acceleration is also zero in this interval.

Choose the correct option –

(1) ii, iii and iv

(2) i, iii and iv

(3) i and iii

(4) i and iv

1

2

3

4

Question 45. A particle has initial velocity 10m/s. It moves due to a constant force along the line of velocity which initially produces retardation of 5m/s². Then –

(1) the distance travelled in first 3 seconds is 10.0m

(2) the distance travelled in first 3 seconds is 7.5m

(3) the distance travelled in first 3 seconds is 12.5m

(4) the distance travelled in first 3 seconds is 17.5m

1

2

3

4

Detailed Solutions

Return Back to - NEET Chapterwise Test Series