Two balls P and Q are projected vertically upward from the same point with speeds and…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two balls P and Q are projected vertically upward from the same point with speeds

15\,\text{m}\,\text{s}^{-1}

and

30\,\text{m}\,\text{s}^{-1}

respectively. Ignoring air resistance, what are the ratios (i) of their maximum heights

H_{P}:H_{Q}

and (ii) of the times taken to reach those heights

t_{P}:t_{Q}

? (a)

1:2

and

1:2

(b)

1:4

and

1:4

(c)

1:4

and

1:2

(d)

4:1

and

2:1