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of the uuch relative to you is still north be we the -192 km/h, but it is now moving away from you instead of toward you. Practice Problem: Suppose you and the truck are both traveling in the (b) what northbound lane. (Let's assume the truck has recently passed you, so (a) +16 km/h, (b) -16 km/h. don't need to worry about a collision.) If we continue to let positive direction, (a) what is the truck's velocity relative to you and with respect to the truck? Answers: is your velocity

of the uuch relative to you is still north be we the -192 km/h, but it is now moving away from you instead of toward you. Practice Problem: Suppose you and the truck are both traveling in the (b) what northbound lane. (Let's assume the truck has recently passed you, so (a) +16 km/h, (b) -16 km/h. don't need to worry about a collision.) If we continue to let positive direction, (a) what is the truck's velocity relative to you and with respect to the truck? Answers: is your velocity

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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ce (at ain T n the any st's От me re ence, A, B, and C, we can write immediately Equation 2.16. If there are three different frames of refer- A). This is a handy = UP/C + and so on. EXAMPLE 2.12 Relative velocity on the highway In this example we will solve a relative motion problem involving only two frames of reference. Suppose you are driving north on a straight two-lane road at a constant 88 km/h (Figure 2.30). A truck traveling at a constant 104 km/h approaches you (in the other lane, fortunately). (a) What is the truck's velocity relative to you? (b) What is your velocity with respect to the truck? UT/E = UT/Y UT/Y UP/A SOLUTION SET UP Let you be Y, the truck be T, and the earth be E, and let the positive direction be north (Figure 2.30). Then Uy/E = +88 km/h. = UC/B SOLVE Part (a): The truck is approaching you, so it must be mov- ing south, giving UT/E = -104 km/h. We want to find UT/y. Modifying Equation 2.16, we have = + UB/A, + UY/E, UT/E- UY/E -104 km/h - 88 km/h = -192 km/h.com The truck is moving at 192 km/h south relative to you. Part (b): From Equation 2.17, UY/T = -UT/Y = -(-192 km/h) −(−192 You are moving 192 km/h north relative to the truck. Theory of relativitu km/h) = +192 km/h. 9730 20 REFLECT How do the relative velocities change after you and the truck have passed? They don't change at all! The relative positions of the objects don't matter. The velocity of the truck relative to you is still -192 km/h, but it is now moving away from you instead of toward you. Practice Problem: Suppose you and the truck are both traveling in the northbound lane. (Let's assume the truck has recently passed you, so E UT/E SIIN W-O-E ÜYE 1111 Video Tutor Solution ugl A FIGURE 2.30 Velocities of you and the truck, relative to the ground. we don't need to worry about a collision.) If we continue to let north be the positive direction, (a) what is the truck's velocity relative to you and (b) what is your velocity with respect to the truck? Answers: (a) +16 km/h, (b)-16 km/h.
Transcribed Image Text:ce (at ain T n the any st's От me re ence, A, B, and C, we can write immediately Equation 2.16. If there are three different frames of refer- A). This is a handy = UP/C + and so on. EXAMPLE 2.12 Relative velocity on the highway In this example we will solve a relative motion problem involving only two frames of reference. Suppose you are driving north on a straight two-lane road at a constant 88 km/h (Figure 2.30). A truck traveling at a constant 104 km/h approaches you (in the other lane, fortunately). (a) What is the truck's velocity relative to you? (b) What is your velocity with respect to the truck? UT/E = UT/Y UT/Y UP/A SOLUTION SET UP Let you be Y, the truck be T, and the earth be E, and let the positive direction be north (Figure 2.30). Then Uy/E = +88 km/h. = UC/B SOLVE Part (a): The truck is approaching you, so it must be mov- ing south, giving UT/E = -104 km/h. We want to find UT/y. Modifying Equation 2.16, we have = + UB/A, + UY/E, UT/E- UY/E -104 km/h - 88 km/h = -192 km/h.com The truck is moving at 192 km/h south relative to you. Part (b): From Equation 2.17, UY/T = -UT/Y = -(-192 km/h) −(−192 You are moving 192 km/h north relative to the truck. Theory of relativitu km/h) = +192 km/h. 9730 20 REFLECT How do the relative velocities change after you and the truck have passed? They don't change at all! The relative positions of the objects don't matter. The velocity of the truck relative to you is still -192 km/h, but it is now moving away from you instead of toward you. Practice Problem: Suppose you and the truck are both traveling in the northbound lane. (Let's assume the truck has recently passed you, so E UT/E SIIN W-O-E ÜYE 1111 Video Tutor Solution ugl A FIGURE 2.30 Velocities of you and the truck, relative to the ground. we don't need to worry about a collision.) If we continue to let north be the positive direction, (a) what is the truck's velocity relative to you and (b) what is your velocity with respect to the truck? Answers: (a) +16 km/h, (b)-16 km/h.
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Step 1

Solution to Practice Problem:

Given,

The truck and my car are both towards the  north direction.

Velocity of truck with respect to ground, VAG = 104 km/hr

Velocity of my car with respect to ground, VBG = 88 km/hr

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