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

Answer:

Acceleration, a = 9.877m/s²

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