The Displacement (in metres) of an object moving in a straight line is given by s=1+ 2t + 1/4 t^2, where t is measures in seconds.

a) Find the average velocity over the time interval [1,2]. do not interpret the physical meaning of the value for this question.

b)Find the instantaneous velocity when t =1. do not interpret the physical meaning of the value for this question.

1 answer

(a) (s(2)-s(1))/(2-1)
(b) v = ds/dt = 2 + 1/2 t ... evaluate at t=1