You travel east for 20 miles and then west for 10 miles. What is your average speed and velocity if the entire
trip takes 1 hour. Answer in mile/hour.
You travel east for 20 miles and then west for 10 miles. What is your average speed and velocity if the entire
trip takes 1 hour. Answer in mile/hour.
Answer:
30 miles/hour, and 2.24 miles/hour
Explanation:
What is average speed?
It is the total distance traveled divided by the time taken to cover the total distance traveled
Given that the various distances are
20 miles and 10 miles
the total distance traveled is 20+10= 30 miles
the average speed is expressed as
average speed= total distance/time taken
average speed= 30/1
average speed= 30 miles/hour
The average velocity is a vector quantity
the velocity is the average displacement divided by time taken
[tex]displacement= \sqrt{1^2+2^2} \\\\displacement= \sqrt{1+4} \\\\displacement=2.24 miles[/tex]
average velocity= displacement / time
average velocity= 2.24 /1
average velocity= 2.24 miles/hour