calculus
posted by jenna on .
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

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)