Calculus
posted by James on .
The velocity of a particle moving along the xaxis is given by f(t)=62t cm/sec. Use a graph of f(t)to find the exact change in position of the particle from time t=0 to t=4 seconds.

if v = 6  2t is the velocity
then
s = 6t  t^2 + c, where s is the distance and c is a constant
at t=0 , s = 00+c
at t=4 , s = 24  16 + c
change in position is
2416+c  (0+c) = 8 cm