Question

You have a car traveling 10m/s that speeds up to 40m/s. If it takes 4 seconds, how far does it travel during that time

Answer 1

Answer:

d = 100 m

Explanation:

Given that,

Initial speed of a car, u = 10 m/s

Final speed of a car, v = 40 m/s

Time, t = 4 seconds

We need to find how far does it travel during that time. Let the car travel d distance. We can find it using third equation of motion as follows :

$v^2-u^2=2ad$ ...(1)

a is acceleration and d is the distance

$a=\dfrac{v-u}{t}\\\\a=\dfrac{40-10}{4}\\\\a=7.5\ m/s^2$

So, equation (1) becomes,

$d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{(40)^2-(10)^2}{2\times 7.5}\\\\d=100\ m$

So, it will travel 100 m during that time.