answer these questions about the graph on the above:\na. how many total miles did the car travel?\nb. what…
answer these questions about the graph on the above:\na. how many total miles did the car travel?\nb. what was the average speed of the car for the trip? (hint: total\nc. describe the motion of the car between hours 5 and 12?\nd. what is happening between points c and d?\ne. how many miles were traveled in the first two hours of the trip?\nf. between which two points is the fastest speed?
Answer
Explanation:
Step1: Find total miles
From the graph, the car ends at 150 miles on the y - axis. So the total miles traveled is 150 miles.
Step2: Calculate average speed
Average speed = $\frac{\text{Total distance}}{\text{Total time}}$. Total distance is 150 miles and total time is 20 hours. So average speed = $\frac{150}{20}=7.5$ miles per hour.
Step3: Describe motion between 5 - 12 hours
Between 5 and 12 hours, the y - value (miles) is constant at 50 miles. So the car is stationary.
Step4: Find miles between C and D
At point C, the y - value is 50 miles and at point D, the y - value is 0 miles. So the miles traveled between C and D is $50 - 0=50$ miles.
Step5: Find miles in first 2 hours
At 2 hours, the y - value is approximately 25 miles. So 25 miles were traveled in the first 2 hours.
Step6: Determine fastest speed
The steepest part of the graph represents the fastest speed. The section between points E and F has the steepest slope.
Answer:
a. 150 miles b. 7.5 miles per hour c. The car is stationary. d. 50 miles e. 25 miles f. Between points E and F.