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?

The distance is 2077.77m

Step-by-step explanation:

Given

Represent speed with s and time with t

---- Left

--- South

---- Right

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:

--- approximated

it is probably the graph on the bottom right.

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step-by-step explanation: