You start out by driving 91 miles north in 4 hours and 10 minutes, and then you stop and park for a while. Finally you drive another 28 miles north in 4 hours and 52 minutes. The average velocity for your entire trip was 10.54 miles per hour to the north. How much time did you spend parked? 4 hours 31 minutes 1 hours 7 minutes 11 hours 17 minutes 2 hours 15 minutes

Answered: How much time did you spend parked?

Science

Physics

How much time did you spend parked?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 23P

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Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

You start out by driving 91 miles north in 4 hours and 10 minutes, and then you stop and park for a while. Finally you drive another 28 miles north in 4 hours and 52 minutes. The average velocity for your entire trip was 10.54 miles per hour to the north. How much time did you spend parked?

4 hours 31 minutes

1 hours 7 minutes

11 hours 17 minutes

2 hours 15 minutes

Expert Solution

Step 1

Given:

Distance covered in north direction is $d_{1} = 91 miles$

Time taken to cover distance $d_{1}$ is $t_{1} = 4 hours 10 minutes$

Then the person stop for a while in the park.

Another distance covered in north direction is $d_{2} = 28 miles$

Time taken to cover distance $d_{2}$ is $t_{2} = 4 hours 52 minutes$

Average velocity during the entire journey is $v_{a v g} = 10.54 miles per hour$ to the north.

Note:

$1 hour = 60 minutes$

Find:

Time sped in the park.

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