NEET Physics Motion in a Straight Line Online Test Set A

1. All the graphs below are intended to represent the samemotion. One of them does it incorrectly. Pick it up.

2. The water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at an instant when the first drop touches the ground. How far above the ground is the second drop at that instant ? (Take g = 10 m/s²)

3. The motion of a particle along a straight line is described by equation :
x = 8 + 12t – t³
where x is in metre and t in second. The retardation of the particle when its velocity becomes zero, is

4.

5. A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?

6. From a balloon moving upwards with a velocity of 12 ms^–1, a packet is released when it is at a height of 65 m from the
ground. The time taken by it to reach the ground is (g = 10 ms^–2)

7. Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t₁. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t . The time taken by her to walk up on the moving escalator will be:

8. Two bodies begin a free fall from the same height at a time interval of N s. If vertical separation between the two bodies is 1 after n second from the start of the first body, then n is equal to

9. If the velocity of a particle is v = At + Bt², where A and B are constants, then the distance travelled by it between 1s and 2s is :

10. A body is thrown vertically upwards from A, the top of the tower, reaches the ground in time t₁. If it is thrown vertically downwards from A with the same speed, it reaches the ground in time t₂. If it is allowed to fall freely from A, then the time it takes to reach the ground is given by

11. Two stones are thrown up simultaneously from the edge of a cliff 240 m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first?
(Assume stones do not rebound after hitting the ground and neglect air resistance, take g = 10 m/ s²) (The figures are schematic and not drawn to scale)

12. Assertion : Velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to the time axis.
Reason : In uniform motion of an object velocity increases as the square of time elapsed.

13. A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = bx^–2n where b and n are constants and x is the position of the particle. The acceleration of the particle as d function of x,

14. A body starts from rest at time t = 0, the acceleration time graph is shown in the figure. The maximum velocity attained by the body will be

15. From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path. The relation between H, u and n is

16. The displacement of a particle is given by x = (t – 2)² where x is in metre and t in second. The distance covered by the particle in first 4 seconds is

17.

18.

19. A lift is coming from 8th floor and is just about to reach 4th floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct?

20. Among the four graph shown in the figure there is only one graph for which average velocity over the time interval (O, T) can vanish for a suitably chosen T. Which one is it?