Question

Doc Brown has calculated his Delorean can accelerate at a rate of 2.52 m/s/s. How

far away must he and Marty stand to allow the car to accelerate from rest to a speed
of 39.2 m/s?

Answer 1

The value is
`s = 306.6 \ m`

Step-by-step explanation:

From the question we are told that

The acceleration is
`a = 2.52 \ m/s`

The speed to attain is
`v = 39.2 \ m/s`

Generally the time taken is mathematically represented as

`t = (v)/(a)`

=>
`t = (39.2)/(2.52)`

=>
`t= 15.6 \ s`

Generally from the kinematic equation we have that

`s = ut + (1)/(2)at^2`

Here the initial velocity is zero i.e u = 0 \ m/s (it started from rest)

So

`s = 0* 15.6 + (1)/(2) * 2.52 * (15.6)^2`

=>
`s = 306.6 \ m`