The position of an object moving along a line is given by p(t) = 3t - 2sin(( pi )/8t) + 2 . What is the speed of the object at t = 12 ?

1 Answer
Gió
Jun 9, 2016

I found: 3m/s

Explanation:

We can find the instantaneous speed by deriving with respect to t and evaluate the derivative at t=12:
s(t)=p'(t)=(dp(t))/(dt)=3-2pi/8cos(pi/8t)+0=
=3-pi/4cos(pi/8t)

at t=12
s(12)=3-pi/4cos(pi/8*12)=3+0=3m/s

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