At the instant shown in (Figure 1), the car at A is traveling at 10 m/s around the curve while increasing its speed at 5.4 m/s². The car at B is traveling at 23.5 m/s along the straightaway and increasing its speed at 2 m/s². igure VR y 100 m 100 m 45° 1 of 1 VA= 10 m/s Determine the magnitude of the relative velocity of A with respect to B at this instant. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) VA/B= Submit Part B 0 = Submit Part C Determine the direction angle of the relative velocity with respect to B at this instant, measured counterclockwise from the positive axis. Express your answer in degrees yo three significant figures. ▸ View Available Hint(s) aA/B= μA IVE ΑΣΦ Submit Part D Value 0 = Determine the magnitude of the relative acceleration of A with respect to B at this instant. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) μA m/s Value vec VE ΑΣΦ ? m/s² vec ? ? Determine the direction angle of the relative acceleration with respect to B at this instant, measured counterclockwise from the positive x axis. Express your answer in degrees to three significant figures. View Available Hint(s) 0 ?

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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Question
At the instant shown in (Figure 1), the car at A is
traveling at 10 m/s around the curve while
increasing its speed at 5.4 m/s². The car at B is
traveling at 23.5 m/s along the straightaway and
increasing its speed at 2 m/s².
Figure
100 m
100 m
45°
1 of 1
VA
= 10 m/s
Determine the magnitude of the relative velocity of A with respect to B at this instant.
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
VA/B=
Submit
Part B
0 =
Submit
Part C
Determine the direction angle of the relative velocity with respect to B at this instant, measured
counterclockwise from the positive x axis.
Express your answer in degrees yo three significant figures.
► View Available Hint(s)
ol
Submit
μA
Part D
Value
0 =
—| ΑΣΦ
a A/B= Value
m/s
μA
Determine the magnitude of the relative acceleration of A with respect to B at this instant.
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
vec
?
m/s²
5 ΑΣΦ ↓↑ vec
?
?
Determine the direction angle of the relative acceleration with respect to B at this instant, measured
counterclockwise from the positive x axis.
Express your answer in degrees to three significant figures.
► View Available Hint(s)
O
?
Transcribed Image Text:At the instant shown in (Figure 1), the car at A is traveling at 10 m/s around the curve while increasing its speed at 5.4 m/s². The car at B is traveling at 23.5 m/s along the straightaway and increasing its speed at 2 m/s². Figure 100 m 100 m 45° 1 of 1 VA = 10 m/s Determine the magnitude of the relative velocity of A with respect to B at this instant. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) VA/B= Submit Part B 0 = Submit Part C Determine the direction angle of the relative velocity with respect to B at this instant, measured counterclockwise from the positive x axis. Express your answer in degrees yo three significant figures. ► View Available Hint(s) ol Submit μA Part D Value 0 = —| ΑΣΦ a A/B= Value m/s μA Determine the magnitude of the relative acceleration of A with respect to B at this instant. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) vec ? m/s² 5 ΑΣΦ ↓↑ vec ? ? Determine the direction angle of the relative acceleration with respect to B at this instant, measured counterclockwise from the positive x axis. Express your answer in degrees to three significant figures. ► View Available Hint(s) O ?
Expert Solution
Step 1: Stating given and to determine data

G i v e n comma
v subscript A equals 10 space m divided by s
a subscript A space equals 5.4 space m divided by s squared
v subscript B equals 23.5 space m divided by s
a subscript B equals 2 space m divided by s squared

Civil Engineering homework question answer, step 1, image 1

T o space d e t e r m i n e comma
a. space M a g n i t u d e space o f space t h e space r e l a t i v e space v e l o c i t y space o f space A space w r t space t o space B
b. space D i r e c t i o n space o f space a n g l e space o f space t h e space r e l a t i v e space v e l o c i t y space w r t space t o space B
c. space M a g n i t u d e o f space t h e space r e l a t i v e space a c c e l e r a t i o n space o f space A space w r t space t o space B
d. D i r e c t i o n space o f space a n g l e space o f space t h e space r e l a t i v e space a c c e l e r a t i o n space w r t space t o space B

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