A cricketer of height $$2.5 \mathrm{~m}$$ throws a ball at an angle of $$30^{\circ}$$ with the horizontal such that it is received by another cricketer of same height standing at a distance of $$50 \mathrm{~m}$$ from the first one. The maximum height attained by the ball is ($$\tan 30^{\circ}=0.577$$)

The graph of an object moving with speed v for a time t is shown below.

The graph that shows the distance s travelled by the same object for a time t is

Two balls are thrown horizontally, one from the window of first floor which is $$3 \mathrm{~m}$$ high from the ground and second from the second floor which is $$6 \mathrm{~m}$$ high from the ground, of a multi storey building, with the same speed of $$6 \mathrm{~ms}^{-1}$$. Calculate the distance that will separate the two balls when they hit the ground.

When two objects are moving along a straight line in the same direction, the distance between them increases by $$6 \mathrm{~m}$$ in one second. If the objects move with their constant speed towards each other the distance decreases by $$8 \mathrm{~m}$$ in one second, then the speed of the objects are :