Question

1. a snowmobile has an initial velocity of 3.0 m/s. a) if it accelerates at the rate of 0.50 m/s² for 7.0 s, what is the final velocity? b) if it accelerates at the rate of -0.60 m/s², how long will it take to reach a complete stop?

Explanation:

Step1: Identify the formula

Use the formula $v = v_0+at$, where $v$ is final - velocity, $v_0$ is initial - velocity, $a$ is acceleration and $t$ is time.

Step2: Solve part a

Given $v_0 = 3.0$ m/s, $a = 0.50$ m/s², $t = 7.0$ s.
$v=v_0 + at=3.0+0.50\times7.0=3.0 + 3.5=6.5$ m/s

Step3: Solve part b

When the snow - mobile comes to a complete stop, $v = 0$ m/s, $v_0 = 3.0$ m/s, $a=- 0.60$ m/s².
Rearrange the formula $v = v_0+at$ to solve for $t$, we get $t=\frac{v - v_0}{a}$.
$t=\frac{0 - 3.0}{-0.60}=\frac{-3.0}{-0.60}=5.0$ s

Answer:

a) $6.5$ m/s
b) $5.0$ s