On the interval seconds

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

Problem

On the interval

0 \leq t \leq \pi

seconds, a particle’s velocity graph is a semicircle of radius

R\,\text{m/s}

that lies entirely above the

t

-axis. If the particle’s displacement during this interval is

8\pi

meters, what is the value of

R

? (a)

8

(b)

2\sqrt{2}

(c)

4

(d)

16