Question

A car moving south speeds up from 10 m/s to 40 m/s in 15 seconds. What is the car's acceleration?

O 2 m/s
O 15 m/s
O 30 m/s
050 m/s

Answer 1

Answer:
`2m/s^(2)`

Step-by-step explanation:

Assuming the car is moving only in one direction (to the South), its acceleration
`a` is given by the following formula, which expresses the variation of the velocity in time:

`a=(\Delta V)/(\Delta t)` (1)

Where:

`\Delta V=V_(2)-V_(1)=40m/s-10m/s=30m/s` is the variation in velocity

`\Delta t=t_(2)-t_(1)=15s-0s=15s` is the variation in time

Rewritting (1) with the calculated values:

`a=(30m/s)/(15s)` (2)

`a=2m/s^(2)` This is the acceleration of the car