Question

A runner starts from rest and speeds up with constant acceleration. If she

has gone a distance of 30 m at the point when she reaches a speed of 8 m/s,
what is her acceleration?
A. 7.5 m/s2
B. 3.8 m/s2
C. 9.1 m/s2
D. 1.1 m/s2

Answer 1

a = 1.07 m/s^2

Step-by-step explanation:

The computation of the acceleration is shown below:

As we know that

`v_f^(2) - v_i^(2) = 2 ad`

where,

v_i = 0 m/s = initial speed

v f = 8 m/s = final speed

d = 30m = distance

Now placing these values to the above equation

`8^(2) - 0 = 2 * a * 30`

64 = 60a

a = 1.07 m/s^2

We simply applied the above formula so that we could able to determine the acceleration