Question 1 :
A ball is thrown vertically up. If the ball reached at maximum height in $$3s$$. Assume air resistance is negligible. The magnitude of the acceleration of the ball at the instant it reaches its maximum height is most nearly:
Question 2 :
A passenger in a moving train tosses a coin. If the coin falls behind him, the train must be moving with
Question 3 :
When a man stands on a moving escalator he goes up in $$50\ sec.$$ and when he walks up the moving escalator he goes up in $$30\ sec.$$ Then the man walks up the stationary escalator in a time of $$----sec$$
Question 4 :
A stone is thrown upwards and it rises to a height of $$200 m$$. The relative velocity of the stone with respect to the earth will be maximum at :
Question 5 :
A team of skydivers jumps from a plane and holds hands to form a flower-like design. As the skydivers begin their free fall, their velocity increases and their:
Question 6 :
A rock falls off top of a building and drops to the ground in 3 m 20 sec. what is the height of the building?
Question 7 :
If an iron ball and a wooden ball of the same radius are released from a height h in vaccum then time taken by both of them to reach ground will be:-
Question 8 :
Three bodies $$A, B$$ and $$C$$ are moving in a straight line in the same direction such that relative velocity of $$A$$ w.r.t $$B$$ is $$2m/s$$, relative velocity of $$B$$ w.r.t $$C$$ is $$5m/s$$.<br/>Find the relative velocity of $$C$$ w.r.t $$A$$. 
Question 9 :
A body falls from a height $$h=200\ m$$.The ratio of distance travelled in each $$2 sec$$ during $$t=0$$ to $$t=6\ sec$$ of the journey is
Question 10 :
A rubber ball dropped from a certain height is an example of
Question 11 :
How do the directions of velocity and acceleration act when brakes are applied to a moving cycle?
Question 12 :
A bus moving with a speed of $$10m/s$$ on a straight road. A scooterist wishes to overtake the bus in $$100s$$. If the bus is at a distance of $$1km$$ from the scooterist, with what speed should the scooterist chase the bus?
Question 13 :
A body is thrown vertically upwards and rises to a height of $$10 m$$. The time taken by the body to reach the highest point is
Question 14 :
A ball of mass m is dropped from a high building and strikes the ground $$ 4 $$ seconds later. Calculate the height of the building.
Question 15 :
The acceleration of a body projected upwards with a certain velocity is
Question 16 :
A ball is thrown directly upwards and reaches a maximum height $$h$$. When it is at height $${h}/{2}$$, its speed relative to the initial speed $${v}_{0}$$ it had when it was originally thrown is:
Question 17 :
A helicopter is flying south with a speed of $$50\, km h^{-1}$$. A train is moving at the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be towards
Question 18 :
A block of mass $$2\ kg$$ starts moving with initial speed of $$10\ m/s$$ and accelerates at $$-2 m/s^2$$. How far does the object travel before coming to rest? <br/>
Question 19 : A ball is thrown vertically upwards. The positive direction is taken to be in upward direction. Which of the following is the correct sign of the quantities during its ascent?<br/><table class="wysiwyg-table"><tbody><tr><td></td><td>POSITION</td><td>VELOCITY</td><td>ACCELERATION</td></tr><tr><td>(A)</td><td>Positive</td><td>Positive</td><td>Positive</td></tr><tr><td>(B)</td><td>Positive</td><td>Positive</td><td>Negative</td></tr><tr><td>(C)</td><td>Positive</td><td>Negative</td><td>Negative</td></tr><tr><td>(D)</td><td>Negative</td><td>Positive</td><td>Negative</td></tr><tr><td>(E)</td><td>Negative</td><td>Negative</td><td>Negative</td></tr></tbody></table>
Question 20 :
A stone thrown upward with a speed 'u' from the top of the tower reaches the ground with a velocity '3u'. The height of the tower is :-
Question 21 :
A ball of mass $$m$$ is thrown vertically upwards. Another ball of mass $$2m$$ is thrown simultaneously at an angle $$\theta$$ with horizontal. Both of them hit the ground at the same time when thrown from the same height. The heights attained by the two are in the ratio ?
Question 22 :
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 23 :
A freely falling body covers half of its journey from the top of a tower in $$0.5 s$$. What is the height of the tower?
Question 24 :
A proton is projected with velocity $$\vec{V}=2\hat{i}$$ in a region where magnetic field $$\vec{B}=(\hat{i}+3\hat{j}+4\hat{k})\mu T$$ and electric field $$\vec{E}=10\hat{i}\mu$$ V/m. Then find out the net acceleration of proton.
Question 25 :
A particle moves on the $$x-$$ axis. When the particle's acceleration is positive and increasing then
Question 26 :
Two particles are moving with velocities $$v_1$$ and $$v_2$$.Their relative velocity is the maximum, when the angle between their velocities is:
Question 27 :
The position of a particle moving in the x-y plane at any time $$t$$ is given by : $$x=(3{t}^{3}-6t)$$ metres; $$y=({t}^{2}-2t)$$ metres. Select the correct statement.
Question 28 :
How long does it take the car to pass it ? (in min)
Question 29 :
A stone is projected up with a velocity of $$4.9\ m/s$$ from the top of a tower and it reaches the ground after 3 s. Then the height of that tower is<br/>
Question 30 :
A particle moves in a straight line in such a way that its velocity at any point is given by $${v}^{2}=2-3x$$, where $$x$$ is measured from a fixed point. The acceleration is
Question 31 :
The acceleration of a body may be doubled by doubling its:
Question 32 :
A cyclist driving at $$5{ms^{ - 1}}$$, picks a velocity of $$10m{s^{ - 1}}$$, over a distance of $$50m$$. Calculate  time in which cyclist picks up the above velocity .
Question 33 :
A particle has an initial velocity of $$9m/s$$ due east and a constant acceleration of $$2m/{s}^{2}$$ due west. The distance covered by the particle in the fifth second of its motion is:
Question 34 :
If a car at rest accelerated uniformly to a speed of $$144 {km}/{hour}$$ in $$20 second$$ it covers a distance:
Question 35 :
A ball is thrown vertically upwards with a velocity 'u' from the balloon descending with velocity v. The ball will pass by the balloon after time.
Question 36 :
A stone is dropped from a height of 20 m. How long will it take to reach the ground? ($$ {g=10 m/s^2}$$ ).
Question 37 :
The acceleration $$a$$ (in $${ ms }^{ -2 }$$) of a body, starting from rest varies with time $$t$$ (in $$s$$) following the equation $$a=3t+4$$. The velocity of the body at time $$t=2s$$ will be
Question 38 :
A ball thrown vertically upwards with a velocity of 25 m/s reaches its highest point of at 35 m in 1.5 sec. Find the total distance travelled by the ball and its position after 2 sec respectively.
Question 39 :
A particle (A) is dropped from a height and another particle(B) is thrown in horizontal direction with speed of $$5$$ m/sec from the same height. The correct statement is?
Question 40 :
A ball is thrown vertically up. If the ball reached at maximum height in $$3s$$. Assume air resistance is negligible. The maximum height of the ball is most nearly :
Question 41 :
The driver of a train moving with a speed $$v_{ 1 }$$ sights another train at a distance $$s$$, ahead of him moving in the same direction with a slower speed $$v_{ 2 }$$. He applies the brakes and gives a constant deceleration $$a$$ to his train. For no collision, $$s$$ is<br>
Question 42 :
Two persons A and B running on a straight track in the same direction observe a car. A says that the car is moving in east direction and B says that the car is moving in north direction. They contradict the direction but say that magnitude is same. If the speed of B is double that of the speed of A, then the true direction of the car will be<br/>
Question 43 :
Two particles move in space with nonzero initial relative velocity and nonzero constant relative acceleration. Then :<br/>
Question 44 :
A particle is thrown up inside a stationary lift of sufficient height. The time of flight is $$T$$. Now it is thrown again with same initial speed $$v_{0}$$ with respect to lift. At the time of second throw, lift is moving up with speed $$v_{0}$$ and uniform acceleration $$g$$ upward (the acceleration due to gravity). The new time of flight is :<br/>
Question 45 :
N particles moving in a straight line have initial velocities of 1, 2, 3, ........... N m/s and accelerations of 1, 2, 3, ...... N m/s$$^2$$ respectively. If the initial spacing between any two consecutive particles is same then, select the correct alternative(s).<br/>
Question 46 :
distance travelled by the ball upto that instant, when lift and ball were of same height from ground Take $$\displaystyle g= 10m/s^{2}$$
Question 47 :
The driver of an express train travelling at a speed of $$v_{1}$$ sees on the same track at distance $$d$$ in front of him a goods train travelling in the same direction at a speed $$v_{2}$$ such that $$v_1>v_2$$. Immediately he applies brakes to his express train producing retardation $$a$$ to avoid collision. Then
Question 48 :
If six persons are at the corners of a regular hexagon of side $$X$$ move at a constant speed $$V$$. Each person maintains a direction towards the person at the next corner. The time, the persons will take to meet each other is
Question 49 :
The maximum height reached by ball, as measured from the ground would be<br>
Question 50 :
Two particles $$P$$ and $$Q$$ move in a straight line $$AB$$ towards each other. $$P$$ starts from $$A$$ with velocity $$u_{1}$$, and an acceleration $$a_{1}$$, $$Q$$ starts from $$B$$ with velocity $$u_{2}$$ and acceleration $$a_{2}$$.They pass each other at the midpoint of $$AB$$ and arrive at the other ends of $$AB$$ with equal <i></i>velocities
Question 51 :
Displacement of ball with respect to ground during its flight would be<br>
Question 52 :
The maximum separation between the floor of elevator and the ball during its flight would be <br>
Question 53 :
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 54 :
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)
Question 55 :
Ima Hurryin is approaching a stoplight moving with a velocity of $$+30.0 m/s$$. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is $$-8.00 m/s^2$$, then determine the displacement of the car during the skidding process. (Note that the direction of the velocity and the acceleration vectors are denoted by a $$+$$ and a $$-$$ sign.)
Question 56 :
A bullet travelling horizontally loses $${\dfrac{1}{20}^{th}}$$ of its velocity while piercing a wooden plank. Number of such planks required to stop the bullet is:
Question 57 :
A car traveling at a speed $$ 30 km h^{-1}$$ is brought to a halt in 8 m by applying breaks. If the same car is traveling at $$60 km h^{-1}$$, it can be brought to a halt with the same breaking power in :
Question 58 :
A particle starts from the origin with a velocity of 10 m/s and moves with a constant acceleration till the velocity increases to 50 m/s. At that instant, the acceleration is suddenly reversed. What will be the velocity of the particle, when it returns to the starting point?
Question 59 :
A particle moves in circle of radius $$9m$$. Its linear speed is given by $$v=3t$$. What is the net acceleration of the partical at $$T=2\ sec$$.
Question 60 :
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.
