A particle moves so that its velocity at time seconds is meters per second

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle moves so that its velocity at time

t

seconds is

v(t)=kt^{2}-2t+1

meters per second, where

k

is a constant. The particle's position is 5 meters at

t=0

and 20 meters at

t=3

. Determine the value of

k