Question

The position of an object moving along a line is given by `p(t) = sin(t- pi /4) +3`. What is the speed of the object at `t = pi/4`?

Answer 1

Speed = 1

Explanation:

velocity `v = p' = cos (t - pi /4)`

`v(pi/4) = cos 0 = 1`

Speed is `s = abs v = 1`