Question

Hey guys can you help me solve this problem "how long will it take a car travelling 30m/s to come to stop ifs its acceleration is -3 m/s2".

Answer 1

Answer:

10 seconds.

Explanation:

We can use a kinematic equation where we know the final velocity, initial velocity, acceleration, and need to determine the time t:

$\displaystyle v_f = v_i + at$

The initial velocit is 30 m/s, the final velocity is 0 m/s (as we stopped), and the acceleration is -3 m/s².

Substitute and solve for t:

$\displaystyle \begin{aligned} (0\text{ m/s}) & = (30 \text{ m/s}) + (-3 \text{ m/s ^2 }) t \\ \\ t & = \frac{-30\text{ m/s}}{-3 \text{ m/s ^2 }} \\ \\ & = 10 \text{ s} \end{aligned}$

Hence, it will take the car 10 seconds to come to a stop.