Question

Suppose you increase your walking speed from 4 m/s to 15 m/s in a period of 1 s. What is your acceleration?

Answer 1

The acceleration is:
`11\,(m)/(s^2)`

Step-by-step explanation:

Recall that acceleration is defined as the change of velocity over the time it took to produce this change. This is expressed mathematically as:

`a=(v_f-v_i)/(t_f-t_i)`

with
`v_i` being the initial velocity of the person (in our case 4 m/s);

`v_f` being his final velocity (in our case 15 m/s);

and the difference
`t_f-t_i` the time the change in velocity took (in our case 1 second).

Therefore in our example, the person's acceleration is:

`a=(v_f-v_i)/(t_f-t_i)\\a=(15-4)/(1)\,(m)/(s^2) \\a=11\,(m)/(s^2)`