Question

A particle moves in a straight line with velocity given by v(t) =sin t metres per second. Find the total distance travelled by the particle in the first 4 seconds of motion

Answer 1

integratiing we get

s(t) = -cost + c , where s(t) is distance and c is a constant
s(0( = -cos0 + c = -1+c
s(4) = -cos 4 + c

distance covered = -cos 4 + c - (-1+ c)
= -cos 4 + 1
= appr. 1.6536

make sure your calculator is set to RAD (radians)