SOLUTION: A car travels at 60 mph east for 20 min then at 30 mph north for 30 min. What is the average speed and average velocity?

Algebra.Com
Question 350545: A car travels at 60 mph east for 20 min then at 30 mph north for 30 min. What is the average speed and average velocity?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Rate*Time=Distance

Find the total distance traveled.
miles East
miles North

miles
Find the total time elapsed,
hr
Average speed is distance traveled divided by time elapsed.
mph
.
.
.
Average velocity is the change in the position vector divided by elapsed time.
(,) is the starting point.
East is positive .
North is positive .
Determine the final position.
(,)+(,)+(,)=(,)
.
.
The magnitude of the position vector is
miles
Divide by elapsed time,

mph
The direction is given by
where theta is the angle measured CCW from the x-axis.
degrees
The velocity vector has magnitude mph and angle of degrees or in vector coordinates (,) mph.
RELATED QUESTIONS

A car travels at 60 mph east for 20 min then at 30 mph east for 30 minutes. What is the... (answered by Fombitz)
A car travels at 60 mph east for 20 min then at 30 mph west for 30 minutes. What is the... (answered by solver91311)
A car travels at 40 mph east for 20 miles then at 60 mph east for 15 minutes. How do you... (answered by josmiceli,Alan3354)
An automobile is driven at 30 mph for 12 min, then at 40 mph for 20 min, and finally 50... (answered by josgarithmetic)
A car travels at a speed of 20 mph over a certain distance and then returns over the same (answered by nyc_function)
a car travels at 65 mph for 1 hour on the highway.it stops at a rest stop for 15 min it... (answered by josgarithmetic)
A car travels at 40 mph for the first half and for the second half at 60 mph, what is the (answered by josmiceli)
At 9:00 am a car starts at point A and travels north for 1 hour at an average rate of 60... (answered by Greenfinch)
Find the average rate of speed for the entire trip if a car travels for 1 hour at 30 mph... (answered by richwmiller)