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

Respuesta :

Answer:

a = 1.07 m/s^2

Explanation:

The computation of the acceleration is shown below:

As we know that

[tex]v_f^{2} - v_i^{2} = 2 ad[/tex]

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

[tex]8^{2} - 0 = 2 \times a \times 30[/tex]

64 = 60a

a = 1.07 m/s^2

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