Question

question
the distance in feet that a ball rolls down an incline is modeled by s(t)=-2t² - 2, where t is seconds after the ball begins rolling. find its instantaneous velocity at t = 4 seconds.
provide your answer below:
v(4)=□

Explanation:

Step1: Find the derivative of s(t)

The derivative of $s(t)=- 2t^{2}-2$ using the power - rule $\frac{d}{dt}(at^{n})=nat^{n - 1}$ is $v(t)=s^\prime(t)=-4t$.

Step2: Evaluate v(t) at t = 4

Substitute $t = 4$ into $v(t)$. So $v(4)=-4\times4=-16$.

Answer:

$-16$