Suppose a certain object moves in a straight line with the following velocity, where v is in meter per second and t is in seconds. v(t) = -2 + t = 3sin(pit). without using your calculator, but instead, using properties of definite integrals and facts you know about area. determine the net change in distance of the object from time t=0 to time t=6 seconds. and find the object's average velocity in this interval.