Question

A car starts at rest and travels 200 m with an acceleration of 10 m/s^2. How long does it take the car to travel these 200 m?

Answer 1

To find the time it takes for the car to travel a certain distance with a given acceleration, you can use the following kinematic equation:

$d=\frac{1}{2}a{t}^2$

where:

• $d$ is the distance traveled (200 m in this case),
• $a$ is the acceleration (10 m/s² in this case),
• $t$ is the time it takes.

Plugging in the values we have:

$200=\frac{1}{2}\times 10\times t^2$

Simplifying the equation:

$200=5t^2$

Dividing both sides of the equation by 5:

$t^2=40$

Taking the square root of both sides to solve for $t$:

$t=\sqrt{40}\approx 6.32\text{s}$

Therefore, it takes the car approximately 6.32 seconds to travel 200 meters with an acceleration of 10 m/s².