Question

The world record for the Quarter mile drag race is 3.58 seconds. What is the Acceleration of the Dragester?(Quarter mile = 402 meters)

Answer 1

`a = 62.7 m/s^2`

Step-by-step explanation:

As we know that the distance moved by him is

`d = 402 m`

the total time for which he is accelerating is given

t = 3.58 s

now we know that

`d = (1)/(2)at^2`

`402 = (1)/(2)a(3.58^2)`

`a = 62.7 m/s^2`

So he must run with the above acceleration so he will move the distance in shortest possible time

Answer 2

`62.7 m/s^2`

Step-by-step explanation:

Assuming the dragster accelerates at constant rate, the equation that describes the distance travelled by the dragster after time t is

`d(t) = ut + (1)/(2)at^2`

where

u is the initial velocity

a is the acceleration

If we assume that the dragster starts from rest,

u = 0

And we also know that at t = 3.58 s, the distance covered is

d = 402 m

Solving the formula for a, we find the acceleration:

`d=(1)/(2)at^2\\a=(2d)/(t^2)=(2(402))/((3.58)^2)=62.7 m/s^2`