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You park your car, and start walking west on Robinson Street at a speed of 2.1 m/s. After 16 minutes, you turn left. It really is a beautifu
Question
You park your car, and start walking west on Robinson Street at a speed of 2.1 m/s. After 16 minutes, you turn left. It really is a beautiful day out, and so you slow your speed to 1.1 m/s and continue walking to the south on Rosalind Avenue for another 12 minutes. At this point, you realize that you have a library book on hold at the downtown branch, and decide to make a quick detour to pick it up. You turn right and jog west at a speed of 3.4 m/s for 28 seconds to cross the street before the light changes. At this point, how far (in meters) are you from your car?
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Mathematics
3 years
2021-09-04T12:21:32+00:00
2021-09-04T12:21:32+00:00 1 Answers
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Answer:
The distance is 2077.77m
Step-by-step explanation:
Given
Represent speed with s and time with t
Required
How far are you from your car?
To solve this question, I will use the attached image to illustrate the movement.
First, we calculate distance AB
Using:
—- Left
Convert min to secs
Next, we calculate the distance BC
Using:
— South
Next, we calculate distance CD
Using:
—- Right
The distance between you and the car is represented as AD.
Considering triangle AOD, we have:
Where:
and
So:
The equation becomes: