NEET-2022
Question 1. The position-time (x - t) graph for positive acceleration is
(a)
(b)
(c)
(d)
Answer (a)
Question 2. The ratio of the distances travelled by a freely falling body in the `1^{st}, 2^{nd}, 3^{rd}` and `4^{th}` second
(a) `1:2:3:4`
(b) `1:4:9:16`
(c) `1:3:5:7`
(d) `1:1:1:1`
Answer (c)
Question 3. The displacement-time graphs of two moving particles make angles of `30^o` and `45^o` with the x-axis as shown in the figure. The ratio of their respective velocity is
(a) `\sqrt{3}:1`
(b) `1:1`
(c) `1:2`
(d) `1:\sqrt{3}`
Answer (d)
NEET-2021
Question 4. A small block slides down on a smooth inclined plane, starting from rest at time `t = 0`. Let `S_n` be the distance travelled by the block in the interval `t = n-1` to `t = n`. The the ratio `{S_n}/{S_n+1}` is :
(a) `{2n}/{2n-1}`
(b) `{2n-1}/{2n}`
(c)`{2n-1}/{2n+1}`
(d) `{2n+1}/{2n-1}`
Answer (c)
NEET-2020
Question 5. A ball is thrown vertically downward with a velocity of `20 ms^-1` from the top of a tower. It hits the ground after some time with a velocity of `80 ms^-1`. The height of the tower is : `(g = 10 ms^-2)`
(a) `340m`
(b) `320m`
(c) `300m`
(d) `360m`
Answer (c)
NEET-2019
Question 6. The speed of a swimmer in still water is `20 ms^-1`. The speed of river water is `10 ms^-1` and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes w.r.t. north is given by :
(a) `0^o`
(b) `60^o`
(c) `45^o west`
(d) `30^o west`
Answer (d)
NEET-2017
Question 7. Preeti reached the metro station and found that the escalator was not working. She walked up the sationary escalator in time `t_1`. On another days, if she remains stationary on the the moving escalator, then the escalator takes her up in time `t_2`. The time taken by her to walk up on the moving escalator will be
(a) `{t_1t_2}/{t_2-t_1}`
(b) `{t_1t_2}/{t_2+t_1}`
(c) `t_1-t_2`
(d) `{t_1+t_2}/2`
Answer (b)
NEET-2016
Question 8. Two cars P and Q start from a point at the same time in a straight line and their positions are represented by
`X_P(t)=(at+bt^2) & X_Q(t)=(ft-t^2)`
At what time do the cars have the same velocity ?
(a) `{a-f}/{1+b}`
(b) `{a+f}/{2(1-b)}`
(c) `{a+f}/{2(1+b)}`
(d) `{f-a}/{2(1+b)}`
Answer (d)
Question 9. If the velocity of a particle is `v = At + Bt^2`, where A and B are constants, then the distance travelled by it between `1 s` and `2 s` is
(a) `3/2A+7/3B`
(b) `A/2+B/3`
(c) `3/2A+4B`
(d) `3A+7B`
Answer (a)
NEET-2015
Question 10. A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to `v(x)=\betax^{2n}`, where `\beta` and n are constants and `x` is the position of the particle. The acceleration of the particle as a function of `x`, is given by
(a) `-2\beta^2x^{-2n+1}`
(b) `-2\beta^2e^{-4n+1}`
(c) `-2\beta^2x^{-2n-1}`
(d) `-2\beta^2e^{-4n-1}`
Answer (d)
NEET-2013
Question 11. The displacement `'x'` (in meter) of a particle of mass `'m'` (in kg) moving in one dimension under the action of a force, is related to time `'t'` (in sec) by `t =\sqrt{x}+3`. The displacement of the particle when its velocity is zero, will be
(a) `4m`
(b) `0m`
(c) `6m`
(d) `2m`
Answer (b)
Question 12. A stone falls freely under gravity. It covers distances `h_1, h_2` and `h_3` in the first 5 seconds, the next `5` seconds and the next `5` seconds respectively. The relation between `h_1, h_2` and `h_3` is
(a) `h_2=3h_1 & h_3=3h_2`
(b) `h_1=h_2=h_3`
(c) `h_1=2h_2=3h_3`
(d) `h_1=h_2/3=h_3/5`
Answer (d)
NEET-2012
Question 13. The motion of a particle along a straight line is described by equation `x = 8 +12t -t^3` where `x` is in metre and t in second. The retardation of the particle when its velocity becomes zero is
(a) `24ms^-2`
(b) zero
(c) `6ms^-2`
(d) `12ms^-2`
Answer (d)
NEET-2011
Question 14. A particle covers half of its total distance with speed `v_1` and the rest half distance with speed `v_2`. Its average speed during the complete journey is
(a) `{v_1+v_2}/2`
(b) `{v_1v_2}/{v_1+v_2}`
(c) `{2v_1v_2}/{v_1+v_2}`
(d) `{v_1^2v_2^2}/{v_1^2+v_2^2}`
Answer (c)
NEET-2011
Question 15. A boy standing at the top of a tower of `20 m` height drops a stone. Assuming `g = 10 m s^-2`, the velocity with which it hits the ground is
(a) `10.0m/s`
(b) `20.0m/s`
(c) `40.0m/s`
(d) `5.0m/s`
Answer (b)
NEET-2010
Question 16. A particle moves a distance x in time t according to equation `x = (t + 5)^-1`. The acceleration of particle is proportional to
(a) `(velocity)^{3/2}`
(b) `(distance)^2`
(c) `(distance)^-2`
(d) `(velocity)^{2/3}`
Answer (a)
Question 17. A ball is dropped from a high rise platform at `t = 0` starting from rest. After `6` seconds another ball is thrown downwards from the same platform with a speed `v`. The two balls meet at `t = 18 s`. What is the value of `v?` (Take `g = 10 ms^-2`)
(a) `75m/s`
(b) `55m/s`
(c) `40m/s`
(d) `60m/s`
Answer (a)
NEET-2009
Question 18. A bus is moving with a speed of `10 ms^-1` on a straight road. A scooterist wishes to overtake the bus in `100 s`. If the bus is at a distance of `1 km` from the scooterist, with what speed should the scooterist chase the bus ?
(a) `40ms^-1`
(b) `25ms^-1`
(c) `10ms^-1`
(d) `20,s^-1`
Answer (d)
Question 19. A particle starts its motion from rest under the action of a constant force. If the distance covered in first `10` seconds is `S_1` and that covered in the first `20` seconds is `S_2`, then
(a) `S_2=3S_1`
(b) `S_2=4S_1`
(c) `S_2=S_1`
(d) `S_2=2S_1`
Answer (b)
NEET-2008
Question 20. The distance travelled by a particle starting from rest and moving with an acceleration `4/3m s^-2`, in the third second is
(a) `{10}/3m`
(b) `{19}/3m`
(c) `6m`
(d) `4m`
Answer (a)
Question 21. A particle moves in a straight line with a constant acceleration. It changes its velocity from `10 ms^-1` to `20 ms^-1` while passing through a distance `135 m` in t second. The value of t is
(a) `12`
(b) `9`
(c) `10`
(d) `1.8`
Answer (b)
NEET-2007
Question 22. A particle moving along `x`-axis has acceleration `f`, at time `t`, given by `f = f_0(1-t/T),` where `f_0` and `T` are constants.The particle at `t = 0` has zero velocity. In the time interval between `t = 0` and the instant when `f = 0`, the particle's velocity `(vx)` is
(a) `1/2f_0T^2`
(b) `f_0T^2`
(c) `1/2f_0T`
(d) `f_0T`
Answer (c)
Question 23. 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
(a) `\sqrt{v_uv_d}`
(b) `{v_dv_u}/{v_d+v_u}`
(c) `{v_u+v_d}/{2}`
(d) `{2v_dv_u}/{v_d+v_u}`
Answer (d)
Question 24. The positions x of a particle with respect to time t along x-axis is given by `x = 9t^2-t^3` where `x` is in metres and `t` in seconds. What will be the position of this particle when it achieves maximum speed along the `+ x` direction ?
(a) `54m`
(b) `81m`
(c) `24m`
(d) `32m`
Answer (a)
NEET-2006
Question 25. Two bodies A (of mass `1 kg`) and B (of mass `3 kg`) are dropped from heights of `16 m` and `25 m`, respectively. The ratio of the time taken by them to reach the ground is
(a) `4/5`
(b) 5/4
(c) 12/5
(d)5/12
Answer (a)
Question 26. 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 -t^3`. How long would the particle travel before coming to rest ?
(a) `16m`
(b) `24m`
(c) `40m`
(d) `56m`
Answer (a)
Question 27. A car runs at a constant speed on a circular track of radius `100 m`, taking `62.8` seconds for every circular lap. The average velocity and average speed for each circular lap respectively is
(a) `10m/s, 0`
(b) `0,0`
(c) `0,10m/s`
(d) `10m/s, 10m/s`
Answer (c)
NEET-2005
Question 28. A ball is thrown vertically upward. It has a speed of `10 m/sec` when it has reached one half of its maximum height. How high does the ball rise?
(Take `g = 10 m/s^2`.)
(a) `10m`
(b) `5m`
(c) `15m`
(d) `20m`
Answer (a)
Question 29. The displacement `x` of a particle varies with time `t` as `x = ae^{-\alphat} + be^{\betat}`, where `a, b, \alpha` and `\beta` are positive constants. The velocity of the particle will
(a) be independent of `\beta`
(b) drop to zero when `\alpha=\beta`
(c) go on decreasing with time
(d) go on increasing with time
Answer (d)
NEET-2003
Question 30. 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/s^2`)
(a) more then `19.6m/s`
(b) at least `9.8m/s`
(c) any speed less then `19.6m/s`
(d) only with speed `19.6m/s`
Answer (a)
Question 31. If a ball is thrown vertically upwards with speed `u`, the distance covered during the last `t` seconds of its ascent is
(a) `ut`
(b) `1/2g.t^2`
(c) `ut-1/2g.t^2`
(d) `(u+g.t)t`
Answer (b)
NEET-2001
Question 32. A particle is thrown vertically upward. Its velocity at half of the height is `10 m/s`, then the maximum height attained by it (`g = 10 m/s^2`)
(a) `8m`
(b) `20m`
(c) `10m`
(d) `16m`
Answer (c)
NEET-2000
Question 33. Motion of a particle is given by equation `s = (3t^3 + 7t^2 + 14t + 8) m`. The value of acceleration of the particle at `t = 1 sec` is
(a) `10m/s^2`
(b) `32m/s^2`
(c) `23m/s^2`
(d) `16m/s^2`
Answer (b)
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