Question

The position of an object moving along a line is given by `p(t) = 4t - sin(( pi )/3t)`. What is the speed of the object at `t = 9`?

Answer 1

speed `(dp(t))/dt=4+pi/3`

Explanation:

Differentiate `p(t)` with respect to time `t` then substitute `t=9`

`p' (t)=d/dt(4t)-d/dt(sin((pit)/3))` then substitute `t=9`

God bless....I hope the explanation is useful.