A particle’s velocity for seconds is meters per second

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle’s velocity for

0\le t\le 8

seconds is

v(t)=at^{2}-6t+4

meters per second. The particle starts at position

x=0

and is again at

x=0

when

t=8

. Determine the value of the constant

a