Question

On a straight road (taken to be in the x direction) you drive for an hour at 60 km per hour, then quickly speed up to 120 km per hour and drive for an additional two hours. What is your average x component of velocity

Answer 1

The average velocity is 180 km/hr

Step-by-step explanation:

Given;

initial velocity, u = 60 km per hour

final velocity, v = 120 km per hour

initial time = 1 hour

final time = 2 hour

Initial position = 60 km/h x 1 hour = 60 km

final position = 120 km/h x 2 hour = 240 km

The average velocity is given by;

`V_(avg) = (Final \ position\ - \ Initial \ position)/(final \ time\ - \ initial \ time)\\\\V_(avg) = (240km \ - \ 60km)/(2hr\ - \ 1hr) \\\\V_(avg) = (180 \ km)/(1hr) \\\\V_(avg)= 180 \ km/hr`

Therefore, the average velocity is 180 km/hr