Question

A car speeds up from 3 m/s to 10 m/s in 8 s. How far does the car travel while doing this? 2. A

Answer 1

Initial velocity=u=3m/s

Final velocity=v=10m/s

Time=t=8s

`\boxed{\sf Acceleration=(v-u)/(t)}`

`\\ \sf\longmapsto Acceleration=(10-3)/(8)`

`\\ \sf\longmapsto Acceleration=(7)/(8)`

`\\ \sf\longmapsto Acceleration=0.8m/s^2`

• Distance =s

Using second equation of motion

`\\ \sf\longmapsto s=ut+(1)/(2)at^2`

`\\ \sf\longmapsto s=3(8)+(1)/(2)(0.8)(8)^2`

`\\ \sf\longmapsto s=24+0.4(64)`

`\\ \sf\longmapsto s=24+25.6`

`\\ \sf\longmapsto s=49.6m`