Question

1. how much time is required for an object to reach a velocity of 25 m/s from rest with an acceleration of 5 m/s²? 10 seconds 5 seconds 125 seconds 20 seconds

Explanation:

Step1: Identify the kinematic - equation

The kinematic equation $v = u+at$, where $v$ is final velocity, $u$ is initial velocity, $a$ is acceleration and $t$ is time. Here, $u = 0\ m/s$ (starts from rest), $v = 25\ m/s$ and $a = 5\ m/s^{2}$.

Step2: Rearrange the equation for time

We can rewrite $v = u + at$ as $t=\frac{v - u}{a}$. Substituting the values: $t=\frac{25 - 0}{5}$.

Step3: Calculate the time

$t=\frac{25}{5}=5\ s$.

Answer:

B. 5 seconds