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

d = 100 m

Step-by-step 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=(v-u)/(t)\\\\a=(40-10)/(4)\\\\a=7.5\ m/s^2`

So, equation (1) becomes,

`d=(v^2-u^2)/(2a)\\\\d=((40)^2-(10)^2)/(2* 7.5)\\\\d=100\ m`

So, it will travel 100 m during that time.