Question

Q: If a car accelerated from 5 m/s to 25 m/s in 10 seconds, how far will it travel?

Answer 1

v = v0 + at
25 = 5 + 10a
25 - 5 = 10a
20 = 10a
20/10 = a
a = 2m/s²

v² = v0² + 2 * a * d
(25² - 5²) / (2 * 2) = d
(625 - 25) / 4 = d
600 / 2 = d
d = 150m

The car travel 150 meters :D

Answer 2

A simple solution can be found as follows:

Assuming the acceleration is uniform, the average speed during acceleration is
\[\frac{5+25}{2}=15\ m/s\]
The distance traveled in 10 seconds at an average speed of 15 m/s is given by:
d = 15 * 10 = 150 m