Question

You are driving due north on i-81 to come to jmu with a speed of 10 m/s, suddenly you realize you forgot your book. You make a u-turn to go home, pick it up and now after 20s you are driving south with a speed of 20 m/s. What is your displacement after 20s?

Answer 1

first we make a U turn and travel towards home in t = 20 s

so the distance of home from initial position is

`d_1 = v*t_1`

`d_1 = 10*20 = 200 m`

Now after picking up the book we travel back with speed 20 m/s

so again after t = 20 s the displacement is given as

`d_2 = v*t = 20*20 = 400 m`

so the net displacement is given as

`\vec d = \vec d_2 - \vec d_1`

`\vec d = 400 - 200 = 200 m`

so it will be displaced by total displacement 200 m