Question

As your skateboard coasts uphill, your speed changes from 3 m/s to 1 m/s in

3 seconds. What is your deceleration?

Answer 1

`a=-0.33\ m/s^2`

Step-by-step explanation:

Accelerated Motion

The acceleration of a moving body is defined as the relation of change of speed (or velocity in vector form) with the time taken. The formula is given by

`\displaystyle a=(\Delta v)/(t)`

Or, equivalently

`\displaystyle a=(v_f-v_o)/(t)`

Where vf and vo are the final and initial speeds respectively. The problem gives us these values: v0 = 3 m/s, vf = 1 m/s, t = 3 seconds. Computing a

`\displaystyle a=(1-3)/(3)=-0.33\ m/s^2`

The negative sing of a indicates there is deceleration or decreasing speed