Answer:
C
Step-by-step explanation:
Remember that if s(t) is a position function then:
is the velocity function and
is the acceleration function.
So, to find the acceleration, we need to solve for the second derivative of our original function. Our original function is:
So, let's take the first derivative first with respect to t:
Expand on the right:
Use the power rule. Remember that the derivative of a constant is 0. So, our derivative is:
This is also our velocity function.
To find acceleration, we want to second derivative. So, let's take the derivative of both sides again:
Again, expand the right:
Power rule. This yields:
So, our answer is C.
And we're done!