Question 1 :
Two stones are dropped down simultaneously from different heights. At the starting time, the distance between them is 30 cm. After 1 s, the distance between the two stones will be :<br/>(g = 10 m $s^{-2}$).
Question 2 :
Assertion: The time of flight 'T' is the sum of time of ascent and time of descent.
Reason: The time of ascent is equal to the time of descent.
Question 3 :
A particle is thrown vertically upwards. Its velocity at half of the height is $10  {m}/{s}$, then the maximum height attained by it will be: $\left( g = 10 {m}/{{s}^{2}}\right)$
Question 4 :
A particle moves on the $x-$ axis. When the particle's acceleration is positive and increasing then
Question 5 :
A ball is dropped from height h and another from 2h. The ratio of time taken by the two balls to reach the ground is:
Question 6 :
The displacement $(x)$ of a particle depends on time $(t)$ as $x=\alpha { t }^{ 2 }-2\beta { t }^{ 3 }$.<br><br>
Question 7 :
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
Question 8 :
From the top of a tower, a particle is thrown vertically downwards with a velocity of $10\ m/s$. The ratio of the distances, covered by it in the $3^{rd}$ and $2^{nd}$ seconds of the motion is (Take $g = 10 m/s^{2})$.
Question 9 :
Assertion: A stone dropped from a height, moves with constant velocity.
Reason: Time of descent is directly proportional to the square root of the initial velocity of the body.
Question 10 :
A passenger in moving train tosses a coin which falls behind him. It means that the motion of the train is
Question 11 :
When a ball is thrown up vertically with velocity $v_{0}$, it reaches a maximum height of $h$ If one wishes to triple the maximum height then the ball should be thrown with velocity:
Question 12 :
A golf ball is dropped on Earth from a height of $80$ meters above the ground, where air resistance can be considered negligible. Which one of the following is closest to the amount of time it takes for the golf ball to reach the ground?
Question 13 :
A body of velocity  5 m / s towards north and its velocity becomes  10 m / s towards south  in time 3 s. Magnitude of average acceleration is :
Question 14 :
A body starts falling from height $h$ and travels distance $\dfrac{h}{2}$ during last second of motion, then total time of travel (in second) is
Question 15 :
The position of a particle moving along x-axis is given by x = 10t -$2t^{2}$. Then the time (t) at which it will momently come to rest is
Question 16 :
Assertion: Two balls of different masses are thrown vertically upwards with the same speed. They will pass through their point of projection in the downward direction with the same speed.
Reason: The height and the downward velocity attained at the point of projection are independent of the mass of ball.
Question 17 :
A lift moves upward with an acceleration of $1.2\ m{ s }^{ -2 }$. Two seconds after the lift starts, a nail falls from the ceiling of the lift $3\ m$ above the floor of the lift. Distance of its fall with reference to the shaft of the lift is <br>
Question 18 :
A jet airplane travelling at the speed of $500\ kmh^{-1}$ ejects the burnt gases at the speed of $1400\ kmh^{-1}$ relative to the jet airplane. The speed of burnt gases relative to stationary observer on the earth is
Question 19 :
A student is standing at a distance of $50$ metre from the bus. As soon as the bus begins its motion with an acceleration of $\displaystyle 1\ { ms }^{ -2 }$, the students starts running towards the bus with a uniform velocity $u$. Assuming the motion to be along a straight road, the minimum value of $u$, so that the student is able to catch the bus is:
Question 20 :
A car moving with a velocity of $10 m/s$ can be stopped by the application of a constant force F in a distance of $20m$. If the velocity of the car is $30m/s$. It can be stopped by this force in:-
Question 21 :
A stone is dropped from the $25^{th}$ storey of a multistoried building and it reaches the ground in 5 s. In the first second, it passes through how many storeys of the building? $(g=10ms^{-2}).$
Question 22 :
Two trains A and B of length 400 m each are moving on two parallel tracks with uniform speed of 20 m/s in the same direction. with A ahead of B, driver of B accelerates at $1m/{ s }^{ 2 }$ in order to overtrake. if after 50 sec, the guard of B just brushes past driver of A, what was original distance between drivers of the trains?
Question 23 :
Two points $A$ and $B$ move from rest along a straight line with same acceleration $f$ and $f'$ respectively. If  $A$ takes $m\ \text{sec}$ more than $B$ and describes $n$ units more than $B$ in acquiring the same speed then 
Question 24 :
A balloon is rising vertically with a velocity of $9.8$ $m/s$. A packet is dropped from it when it is at a height of $39.2$ m. Time taken by the packet to reach the ground is (Given $g=9.8m/s^2$)
Question 26 :
From a place where, g = 9.8 m $s^{-2}$, a stone is thrown upwards with a velocity of 4.9 m $s^{-1}$. The time taken by the stone to return to the earth is :
Question 27 :
An elevator car whose floor-to-ceiling distance is equal to 2.7m starts ascending with a constant acceleration $1.2m/{s^2};2.0s$ after the start a bolt begins falling from the ceiling of the car. Find the displacement covered by the bolt during the free fall in the reference frame fixed to the elevator shaft.
Question 28 :
A man weighing 80 kg is standing on a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley along the rails at speed 1 m/s. Then after 4 s, his displacement relative to ground will be :<br/>
Question 29 :
A car was travelling at a speed of 10 m/s. After the brakes were applied, it start to decelerate at a rate of 2 $m/s^2$ and finally came to rest. Find the distance traveled by the car before coming to rest.
Question 30 :
A paper weight is dropped from the roof of a block of multistorey flats, each storey being $3$ meters high. It passes the ceiling of the $20^{th}$ storey at $30$ $m/s$. If $g = 10  m/ s^{2}$, how many storey does the flat have?
Question 31 :
Two cars 1 & 2 starting from rest are moving with speeds $V_1 $ and $V_2 m/s (V_1 > V_2),$ car 2 is ahead of car '1' by 'S' metres when the driver of car '1' sees car '2'. What minimum retardation should be given to car '1' to avoid collision.
Question 32 :
Displacement of ball with respect to ground during its flight would be<br>
Question 33 :
A man is driving at the speed $40 mph$ when he see an obstacle at distance $300 ft$ ahead of his position. The driver applies the brakes and decelerates at $10 ft/s^2$.How far from the obstacle will the driver be when he finally stops? (in metres)
Question 34 :
The maximum separation between the floor of elevator and the ball during its flight would be <br>
Question 35 :
A man is driving at the speed $40 mph$ when he see an obstacle at distance $300 ft$ ahead of his position. The driver applies the brakes and decelerates at $10 ft/s^2$ How long does it take him to stop the vehicle? (in s)
