A constructor on worker assisting in the paving of a street drives a heavy roller back and forth over the newly paved area to smooth the asphalt. The section of street being paved is 100 m long and the roller operator drives from the east end to the west end of the street and back again 20 times during the paving operation.
a) what total distance did the roller cover?
b) what was the overall displacement of the roller?
Thanks!
20 * 200
zero again, but you know that :)
is it 20*100=2000 m
where did u get 200 from?
thanks!
100 west and 100 east
To find the total distance covered by the roller, we need to calculate the distance covered in one back and forth trip and then multiply it by the number of trips.
a) Distance covered in one back and forth trip:
The distance covered in one back and forth trip is equal to the length of the street, which is 100 m.
Now, let's calculate the total distance covered:
Total distance covered = Distance covered in one back and forth trip * Number of trips
Total distance covered = 100 m * 20 trips
Total distance covered = 2000 m
Therefore, the total distance covered by the roller is 2000 meters.
b) To find the overall displacement of the roller, we need to consider the starting and ending positions of the roller.
Since the roller drives from the east end to the west end and then back again, its starting and ending positions are the same. Hence, the overall displacement is zero.
Therefore, the overall displacement of the roller is zero.