Question

reading check 3.4
3.4 acceleration

1. what is the acceleration of a car moving along a straight road that increases its speed from 0 to 100 km/h in 10 seconds?

Explanation:

Step1: Convert speed to m/s

First, convert 100 km/h to m/s. 1 km = 1000 m and 1 h=3600 s. So, $100\frac{km}{h}=100\times\frac{1000}{3600}\frac{m}{s}=\frac{100000}{3600}\frac{m}{s}\approx 27.78\frac{m}{s}$

Step2: Use acceleration formula

The acceleration formula is $a = \frac{v - u}{t}$, where $v$ is final - velocity, $u$ is initial - velocity, and $t$ is time. Here, $u = 0\frac{m}{s}$, $v\approx27.78\frac{m}{s}$, and $t = 10s$. Then $a=\frac{27.78 - 0}{10}\frac{m}{s^{2}}=2.778\frac{m}{s^{2}}$

Answer:

$2.778\frac{m}{s^{2}}$