Question

A car slides to a stop after traveling 7.9m in 0.6s. determine the initial velocity of the car in m/s if it comes to a stop

Answer 1

Approximately 26.33 m/s.

Step-by-step explanation:

We can apply one of the four kinematic equations:

`\displaystyle \Delta d = (1)/(2)\left( v_f + v_i\right)t`

Since the car slides to a stop after traveling 7.9 meters in 0.6 seconds, Δd = 7.9, t = 0.6, and v_f = 0. Substitute and solve for v_i:

`\displaystyle \begin{aligned} (7.9 \text{ m}) &= (1)/(2)\left((0\text{ m/s}) + v_i)(0.6\text{ s}) \\ \\ v_i &=(79)/(3) \text{ m/s} \approx 26.33 \text{ m/s} \end{aligned}`

In conclusion, the initial velocity of the car is about 26.33 m/s.