Question

1. stan was training to run a half - marathon. he was running on a sidewalk next to his house. he realized he was going to have to pass this person that was running in front of him. to do this, stan had to run at a pace of 2 m/s for about 2 seconds. what was stans acceleration during this time? 2 m/s 5 m/s 5 m/s² 2 m/s² clear all

Explanation:

Step1: Recall acceleration formula

Acceleration $a=\frac{\Delta v}{\Delta t}$, where $\Delta v$ is change in velocity and $\Delta t$ is change in time. Here, assume initial velocity $u = 0\ m/s$, final velocity $v= 10\ m/s$ (since he runs at a pace of 10 m in 2 seconds, average - velocity in non - accelerating case gives a final velocity of 10 m/s if starting from rest), and $\Delta t = 2\ s$.

Step2: Calculate acceleration

$a=\frac{v - u}{\Delta t}=\frac{10 - 0}{2}=5\ m/s^{2}$

Answer:

$5\ m/s^{2}$