Question

The velocity of a particle moving along the x-axis is given by f(t)=6-2t 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.

Answer 1

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 = 0-0+c
at t=4 , s = 24 - 16 + c

change in position is
24-16+c - (0+c) = 8 cm