Question

A car accelerates uniformly from 10 m/s to 20m/s. It travelled a distance of 50 m during this time. What is the acceleration?

Answer 1

To find the acceleration of the car, we can use the following equation:

$v^2=u^2+2as$

Where:

• $v$ is the final velocity (20 m/s)
• $u$ is the initial velocity (10 m/s)
• $a$ is the acceleration (to be determined)
• $s$ is the distance traveled (50 m)

Plugging in the given values, we have:

$20^2=10^2+2\cdot a\cdot 50$

Simplifying the equation:

$400=100+100a$

Rearranging the equation to solve for $a$:

$100a=400-100$

$100a=300$

$a=\frac{300}{100}$

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