Question

A car travels initially at 24 m/s, until it enters the highway. If the car accelerates at 4 m/s^2 for a 96 meters, what is the car's new velocity?

Answer 1

• initial velocity=u=24m/s
• Acceleration=a=4m/s^2
• Distance=s=96m
• Final velocity=v

Using 3rd equation of kinematics

`\boxed{\Large{\sf v^2-u^2=2as}}`

`\\ \Large\sf\longmapsto v^2=u^2+2as`

`\\ \Large\sf\longmapsto v^2=24^2+2(4)(96)`

`\\ \Large\sf\longmapsto v^2=576+768`

`\\ \Large\sf\longmapsto v^2=1344`

`\\ \Large\sf\longmapsto v=√(1344)`

`\\ \Large\sf\longmapsto v=36.6m/s`