Vectors, Scalars, & Displacement

Starting from a pillar, you run a distance 140m east (the + x-direction), then turn around. 

(a) How far west would you have to walk so that your total distance traveled is 300m?

(b)What is the magnitude and direction of your total displacement?

Beginning from a signpost, you run 60m to the right, then 60m back. The entire trip takes 24 seconds. What is your speed and velocity for the whole trip?

You walk to the right at 3m/s for 8s, then turn around and walk backwards at 2m/s for some unknown time. You end up 16m to the right from where you started. How long did you walk backwards?

The brakes of your car can provide an acceleration of 4.6m/s². You’re speeding at 37.5 m/s and suddenly see a police car, so you slam the brakes. How long will it take for your car to slow down to the speed limit of 25 m/s?

Starting from rest, a car accelerated to 20⁢m/s in 4⁢s. What was the magnitude of the car's constant acceleration?

The position-time graph for a moving box is shown below.

(a) What is the box’s average velocity from 0 to 5s?
(b) What is the box’s average velocity from 0 to 8s?
(c) What is the box’s velocity in the interval where it’s moving fastest?

The position-time graph for a ball on a track is shown below.
(a) What is the ball’s velocity at 4s?
(b) At what time(s) is the ball approximately travelling at -10m/s?
(c) From t = 3 to 7s, what is the sign of the acceleration?

The position of an object vibrating on a moving spring is represented by the diagram below. Which of the following options is true of the velocity and acceleration at Point P?