Just need part C. -) Secure l https://edugen.wileyplus.com/edugen/student/mainfr

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Just need part C. -) Secure l https://edugen.wileyplus.com/edugen/student/mainfr.uni WileyP 80% + | Reset yPLUS taliday, Fundamentals of Physics 10e ead, Study & Practice Gradebook ORION Downloadable eTextbook t> Open Assignment B4ESSAGEMT INSTRUCTO FULL SCREEN PRINTER VERSION ·BACK Two highways intersect as shown in the figure. At the instant shown, a police car P is distance de 760 m from the intersection and moving at speed vp 76 km/h. Motorist M is distance dy -600 m from the iritersection and moving at speed v-60 km/h. What are the (a) x component and (b) y-component of the velocity of the motorist wilth respect to the police car? (c) For the instant shown in the figure, what is the angle between the velocity found in (a) and (b) and the line of sight bebveen the two cars? (a) Numbe 176 Units km (b) Numbe T- Unit (c) Number61 71 Rights Raserved. A Division of ihn.&5 Type here to search

Explanation / Answer

For police car
dp = 750 m
vp = 76 km/hr = 21.11 m/s

dm = 600 m
vm = 60 km/hr = 16.667 m/s

Velocity of motortist wrt velocity of police car = Vm - Vp
in cartesian coordinates
Vm = -60 j km/hr
Vp = -76 i km/hr

so Vmp = Vm - Vp = -60j + 76i = 76i - 60j

a. x component = 76 km/hr
b. y component = -60 km/hr
c. angle of this velocity with horisontal, theta = arctan(Vy/Vx) = -38.29 deg wrt +x axis
   angle of line of sight with h orizontal +x axis = 180 - arctan(dm/dp) = 141.340 deg
   angle b/w velocity and line of sight = 179.63019 or 0.3698 deg ( approximately 0)

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