Question

The position of an object moving along a line is given by `p(t) = cos(t- pi /3) +2`. What is the speed of the object at `t = (2pi) /4`?

Answer 1

0.5 units/s

Explanation:

#v(t) =(dp)/(dt) =d/(dt) cos(t-pi/3)+2 =-sin(t-pi/3)#

At `t=(2pi)/4`,
`v(t) = -sin((2pi)/4-pi/3)= -sin(pi/6)= -0.5`