Question 1 :
A ball is thrown vertically up. If the ball reached at maximum height in $$3s$$. Assume air resistance is negligible. The initial velocity of the ball is most nearly :

Question 2 :
A sign convention is used, the positive direction for position, velocity and acceleration is upward. A ball of mass m is thrown upward with velocity $$V$$ and caught during returning. Identify the signs of position, velocity and acceleration during descending part of the trajectory.<table class="wysiwyg-table"><tbody><tr><td></td><td>Position</td><td>Velocity</td><td>Acceleration</td></tr><tr><td>(A)</td><td>Positive&#160;</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 3 :
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?&#160;<br/>

Question 4 :
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 $$A$$.&#160;

Question 5 :
A body projected vertically upwards with a velocity u return to the starting point in 4second .If $$g=10m^{-2}$$ the value of u is $$(m/s)$$:-

Question 6 :
If a body is thrown up with an initial velocity u and covers a maximum height of h, then h is equal to

Question 7 :
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 8 :
Two particles A and B having different masses are projected from a tower with same speed. A is projected vertically upward and B vertically downward. On reaching the ground.<br>

Question 9 :
A stone is thrown upwards with a velocity $$50 mg^{-1}$$. Another stone is simultaneously thrown downwards from the same location with a velocity $$50 ms^{-1}$$. When the first stone is at the highest point, the relative velocity of the second stone w.r.t. the first stone is:

Question 10 :
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 11 :
A child is sitting on a swing. Its minimum and maximum heights from the ground are $$0.75 m$$ and $$2 m$$ respectively, its maximum speed will be :

Question 12 :
<p>A body falls freely from a height of50 m. Simultaneously, another body is thrown from a surface of the earth with a certain initial velocity. The two bodies meet at a height of10 m. What is the initial velocity of the second body?</p>

Question 13 :
A police party is moving in a jeep at a constant speed $$v$$. They saw a thief at a distance x on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration $$a$$. Which of the following relations is true if the police is able to catch the thief?

Question 14 :
Two roads cross at right angles at $$O$$. One person $$A$$ walking along one of the roads at $$3\ ms^{-1}$$ sees another&#160;person B walking at $$4\ ms^{-1}$$ along the other road&#160;at $$O$$, when he is $$10\ m$$ off. The nearest distance&#160;between the two persons is

Question 15 :
The coordinates of moving particle at time t are given by $$x=ct^{2}\;and\;y=bt^{2}$$. The speed of the particle is given by&#160;

Question 16 :
The maximum separation between the floor of elevator and the ball during its flight would be <br>

Question 17 :
The maximum height reached by ball, as measured from the ground would be<br>

Question 18 :
Displacement of ball with respect to ground during its flight would be<br>

Question 19 :
Two particles $$P$$ and $$Q$$ move in a straight line $$AB$$ towards each other. $$P$$ starts from $$A$$ with&#160;velocity $$u_{1}$$,&#160;and an acceleration $$a_{1}$$, $$Q$$ starts&#160;from $$B$$ with velocity $$u_{2}$$&#160;and acceleration $$a_{2}$$.They pass each other at the midpoint of $$AB$$ and arrive at the other ends of $$AB$$ with equal&#160;<i></i>velocities

Question 20 :
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: