SOLUTION: A runner runs at a velocity of 35.0 m/s for 17.55 seconds, turns around and runs back the way she came at a speed of 33.0 m/s for 8.53 seconds. a) What is the total average spee

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Question 1002584: A runner runs at a velocity of 35.0 m/s for 17.55 seconds, turns around and runs back the way she came at a speed of 33.0 m/s for 8.53 seconds.
a) What is the total average speed of this runner for the entire motion described?
b) What is the total average velocity of this runner for the entire motion described?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A runner runs at a velocity of 35.0 m/s for 17.55 seconds, turns around and runs back the way he came at a speed of 33.0 m/s for 8.53 seconds.
Find the distance traveled each way
35 * 17.55 = 614.25 meters
33 * 8.53 = 281.49 meters
:
a) What is the total average speed of this runner for the entire motion described?
let a = the average speed for the whole trip
total distance divided by total time
a = %28%28614.25%2B281.49%29%29%2F%28%2817.55%2B8.53%29%29
a = 895.74%2F26.08
a = 34.346 m/sec
:
b) What is the total average velocity of this runner for the entire motion described?
Av velocity is total displacement divided by total time
v = a = %28%28614.25-281.49%29%29%2F%28%2817.55%2B8.53%29%29
v = 332.76%2F26.08
v = 12.759 m/sec