Question

Suppose you increase your walking speed from 5m/s to 15m/s in a period of 1 s. What is your acceleration?

Answer 1

acceleration=change in velocity divided by change in time or
`a=(\Delta v)/(\Delta t)`

we are given that it goes from 5m/s to 15m/s

`\Delta v=v_f-v_0`
in this case,
`\Delta v=15(m)/(s)-5(m)/(s)=10(m)/(s)`

and the change in time or
`\Delta t` is 1 second because this change occurs over a period of 1 second

so the acceleration is
`a=(10(m)/(s))/(1s)=10(m)/(s^2)`
the acceleration is
`10(m)/(s^2)`