For seconds, the velocity of a particle is given by meters per second. At the…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

For

0\le t\le 6

seconds, the velocity of a particle is given by

v(t)=\sin t+c

meters per second. At

t=6

the particle is exactly

8

meters to the right of its initial position. Determine the value of the constant

c