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 ($$\tan 30^{\circ}=0.577$$)

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 :

A body is projected vertically upwards. The times corresponding to height $$h$$ while ascending and while descending are $$t_1$$ and $$t_2$$, respectively. Then, the velocity of projection will be (take, $$g$$ as acceleration due to gravity)

A car starts from rest and accelerates uniformly to a speed of $$180 \mathrm{~kmh}^{-1}$$ in $$10 \mathrm{~s}$$. The distance covered by the car in this time interval is