A runner in a relay race is required to run a distance of 20 m, pick up tbaton, and then turn back to the start. the runner must then run back past the starting point to a location 10 m beyond start, pick up a second baton, turn around and run past start again to a second runner located a distance of 30 m from the start.
a) What total distance does the runner travel?
b) at the end of the relay, what is the overall displacement of the runner form the start?
Thank you!
east 20
then west 30
then east 40
total run = 20 + 30 + 40
use for a
total east = 20 - 30 + 40
use for b
To solve this problem, we need to break it down into individual distances traveled by the runner.
a) To find the total distance traveled, we need to add up the distances covered in each leg of the relay.
Leg 1: The runner runs 20 m to pick up the first baton.
Leg 2: After picking up the first baton, the runner turns back to the start. This means they cover another 20 m.
Leg 3: The runner runs past the starting point to a location 10 m beyond the start to pick up the second baton. This leg covers 10 m.
Leg 4: After picking up the second baton, the runner turns around and runs past the start again. This means they cover another 10 m.
Leg 5: Finally, the runner runs past the start to a second runner located 30 m from the start. This leg covers 30 m.
Now, let's add up these distances:
20 m + 20 m + 10 m + 10 m + 30 m = 90 m
Therefore, the total distance the runner travels is 90 meters.
b) To find the overall displacement, we need to consider the starting point and the ending point and calculate the difference between them.
The runner starts at the beginning point.
The runner ends at the second runner located 30 m from the start.
Since the second runner is located 30 m from the start, the overall displacement is 30 m.
Therefore, the overall displacement of the runner from the start is 30 meters.