Solve the problem.
-The position of an object at time $t$ is given by $s ( t )$. Find the instantaneous velocity at the indicated value of $t$. $s ( t ) = 3 t ^ { 2 } + 5 t + 7$ at $t = 4$
A) 17
B) 363
C) 24
D) 29

Question

Quizplus · Accepted Answer

The instantaneous velocity is the derivative of the position function. The derivative of $s(t) = 3t^2 + 5t + 7$ is $s'(t) = 6t + 5$. Evaluating at $t = 4$, $s'(4) = 6(4) + 5 = 24 + 5 = 29$.

Solve the Problem ttt Is Given By s(t)s ( t )s(t) Find the Instantaneous Velocity at the Indicated Value Of t

Solve the Problem $t$ Is Given By $s ( t )$ Find the Instantaneous Velocity at the Indicated Value Of t