Solve the problem.
-Given the velocity and initial position of a body moving along a coordinate line at time $t$, find the body's position $\mathrm { t }$ $v = - 16 t + 4 , s ( 0 ) = 7$
A) $s = - 8 t ^ { 2 } + 4 t - 7$
B) $s = - 8 t ^ { 2 } + 4 t + 7$
C) $s = - 16 t ^ { 2 } + 4 t + 7$
D) $s = 8 t ^ { 2 } + 4 t - 7$ time

Question

Quizplus · Accepted Answer

The position $s(t)$ can be found by integrating the velocity function $v(t) = -16t + 4$. Integrating gives $s(t) = -8t^2 + 4t + C$. Using the initial condition $s(0) = 7$, we find $C = 7$. Thus, the correct equation for the position is $s(t) = -8t^2 + 4t + 7$.

Solve the Problem ttt , Find the Body's Position t\mathrm { t }t

Solve the Problem $t$ , Find the Body's Position $\mathrm { t }$