A particle’s velocity (in meters per second) for seconds is defined piecewise as…

PHYSICS · Subjective · CBSE · Physics · Motion · Motion

Problem

A particle’s velocity (in meters per second) for

0\le t\le 10

seconds is defined piecewise as follows: •

v(t)=6

for

0\le t\le 2

; •

v(t)

is linear from

(2,6)

(6,-2)

; •

v(t)=-\sqrt{16-(t-8)^2}

for

6\le t\le 10

. Determine the particle’s net displacement over the interval

0\le t\le 10

. Express your answer exactly, including

\pi

if it arises, and include units.