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$. .$ You jog at 9.1 $\mathrm{km} / \mathrm{h}$ for 5.0 $\mathrm{km}$ , then you jump into a car anddrive an additional 13 $\mathrm{km}$ . With what average speed must youdrive your car if your average speed for the entire 18 $\mathrm{km}$ is to be25 $\mathrm{km} / \mathrm{h}$ ?

$76.4 \mathrm{~km} / \mathrm{h}$

Physics 101 Mechanics

Chapter 2

One-Dimensional Kinematics

Motion Along a Straight Line

Cornell University

University of Michigan - Ann Arbor

Hope College

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so in problem 16 we have a movement divided in two parts. The first part. We have a velocity of 9.1 kilometers per hour. Recover a distance of five. Hello, mentors. The second part, we drive in cover a distance of 13 kilometers. But we don't have the velocity. No. So the problem wants to know the velocity of the second part, knowing that the total average velocity is going was 25 kilometers per hour. Well, we know how to calculate average velocity. So the average velocity of the second part is going to be they space week over in the second part, divided by the time we spent to cover this space. The problem is, we don't have this time. So how we going to do to find this time? We can use the total time, then discovered it's time for the second part. That's CDs we know, thinking about home movement. We know that average velocity was 25. We know that the total space was 18. So the total time it's going to be t course 18 divided by 25. This sissy quotes too suitable 0.7 two hours. Okay. And what was the time For the first part, we know the velocity we jog. We know the distance recover. So this time, for the first part, just going to be Oh, it's C five divided by 9.1. This is it. Close to 0.55 hours. Okay, so what was the time For the second part? The time for the second part is just total time, minus the time for the first part. So this time for the second part is just zero point seven to minors. 0.55 That's it's close to 0.17 hours. Okay, well, we have the time for the second part so we can come back here and finish. The problem is just the average velocity is going to be 13 divided by 0.17. Let's see if close to 76 0.4 kilometers per hour. That's the final answer. Thank you for watching

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