Two identical stones A and B are thrown vertically upward from the same point on…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two identical stones A and B are thrown vertically upward from the same point on level ground. Stone A is projected with speed

u

, whereas stone B is projected with speed

2u

. (i) Show that the maximum height reached by stone B is four times the maximum height reached by stone A. (ii) If stone A rises to

12.5\,\text{m}

, calculate the value of

u

. Take

g = 9.8\,\text{m\,s}^{-2}

. (iii) Obtain the ratio of the time each stone spends ascending before coming momentarily to rest at its respective maximum height.