Solve the problem. -At time $t \geq 0$, the velocity of a body moving along the $s$-axis is $v = t ^ { 2 } - 8 t + 7 .$ When is the body moving backward? A) $1

Question

Solve the problem.
-At time $t \geq 0$, the velocity of a body moving along the $s$-axis is $v = t ^ { 2 } - 8 t + 7 .$ When is the body moving backward?
A) $1 < t < 7$
B) $0 \leq t < 7$
C) $0 \leq t < 1$
D) $t > 7$

Quizplus · Accepted Answer

The body moves backward when the velocity is negative, i.e., $v = t^2 - 8t + 7 < 0$. Factoring the quadratic equation gives $(t-1)(t-7) < 0$, which is true for $1 < t < 7$.

Solve the Problem t≥0t \geq 0t≥0 , the Velocity of a Body Moving Along The

Solve the Problem $t \geq 0$ , the Velocity of a Body Moving Along The