Question

An automobile manufacturer claims that its product will, starting from rest, travel

400 m in 9.0 s. What is the acceleration required to do this?

Answer 1

Acceleration, a = 9.877m/s²

Step-by-step explanation:

Given the following data;

Distance, d = 400m

Time, t = 9secs

Since it's starting from rest, initial velocity, u = 0

To solve for acceleration, we would use the second equation of motion;

`S = ut + \frac {1}{2}at^(2)`

Substituting into the values into the equation;

`400 = 0(9) + \frac {1}{2}a(9)^(2)`

`400 = \frac {1}{2}a81`

Cross multiplying, we have;

`800 = a81`

`a = \frac {800}{81}`

a = 9.877m/s²

Therefore, the automobile would have to accelerate at a constant rate of 9.877m/s²