Solve the problem.
-The position of a particle moving on a number line at time $t$ is given by $s(t)$. Find the instantaneous velocity at time $t=t_{0} s(t)=2 t^{2}-5 t+3 ; t_{0}=-3$
A) 5
B) -5
C) -17
D) 17

Question

Quizplus · Accepted Answer

The instantaneous velocity is the derivative of the position function $s(t)$ evaluated at $t_0$. First, find $s'(t) = \frac{d}{dt}(2t^2 - 5t + 3) = 4t - 5$. Then, evaluate at $t_0 = -3$: $s'(-3) = 4(-3) - 5 = -12 - 5 = -17$.

Solve the Problem ttt Is Given By s(t)s(t)s(t) Find the Instantaneous Velocity at Time

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