Question

A car initially traveling at 25 m/s speeds up to 60 m/s under a uniform acceleration of 5.0 m/s2 to avoid being hit by another car. How long does it take the car to speed up and get out of the way? Show your work.

Answer 1

7 seconds

Step-by-step explanation:

`From\ the\ information\ provided, \ we\ know\ that:\\Initial\ velocity\ of\ the\ car=25\ m/s\\Final\ velocity\ of\ the\ car=60\ m/s\\\\Acceleration=5\ m/s^2\\`
`As\ we\ know\ that\ , \\Acceleration=(Change\ in\ velocity)/(Change\ in\ time) \\a=(v-u)/(t) \\Hence,\\t=(v-u)/(a) \\Substituting\ u=25,v=60,a=5,\\t=(60-25)/(5)\\t=(35)/(5)\\t=7\ seconds`