A purple ball rolls off a horizontal table with an initial speed of $3.0m/s$. A red ball rolls off the same table with an initial speed of $1.5m/s$. Both balls fly undhindered toward the horizontal floor that they hit at some horizontal distance from the edge of the table.
How does the horizontal distance for the purple ball compare to the horizontal distance for the red ball?

Q. A ball starts falling with zero initial velocity on a smooth inclined plane forming an angle $\alpha$ with the horizontal. Having fallen the distance $h$, the ball rebounds elastically off the inclined plane. At a distance $l=xh\sin \alpha$ from the impact point the ball rebounds for the second time. Find $x$.

Q. A purple car is moving three times as fast as a yellow car. Each car slows down to a stop with the same constant acceleration.
How much more distance is required for the purple car to stop?

Q. A marble starts falling from rest on a smooth inclined plane forming an angle $\alpha$ with horizontal. After covering distance $h$ the ball rebound off the plane. The distance from the impact point where the ball rebounds for second time is

Q. A cricket fielder can throw the cricket ball with a speed $v_o$. If he throws the ball while running with speed u at an angle $\theta$ to the horizontal, find

(A) the effective angle to the horizontal at which the ball is projected in air as seen by a spectator.

(B) what will be time of flight?

(C) what is the distance (horizontal range) from the point of projection at which the ball will land if the time of flight is $\frac{2v_0\sin \theta }{g}$ ?

(D) find $\theta$ at which he should throw the ball that would maximise the horizontal range as found $\frac{v_0}{g}[2u\sin \theta +v_0\sin 2\theta ]$

(E) how does for maximum range change if $u>v_o,u=v_o,u<v_o$ ?

(F) As for maximum range change, if $u=v_0,\theta ={60}^{\circ };u>v_0,{\theta }_{max}=\frac{\pi }{2};u=v_0,\theta ={60}^{\circ }$.
How does compare with that for $u=0(i.e{.45}^{\circ })$

Q. A ball is fired horizontally from the edge of a cliff 20 m high at a speed of 10 m/s. Find out the horizontal distance the ball travels before striking the horizontal ground ?