S Halliday, Fundamentals of Physics, 10e Physics (1201/1202/2110/2112/211 Two hi

Question

S Halliday, Fundamentals of Physics, 10e Physics (1201/1202/2110/2112/211 Two highways intersect as shown in the figure. At the instant shown, a police car Pis di distance de- 530 m from the intersection and moving at speed vw -53 km/h. What are the (a) x-component and (b) y-component of the w 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 between the two cars? stance d,-840 m from the and moving at speed v,-84 km/h. Motorist Mis (a) Numberi

Explanation / Answer

velocity of motorist with respect to police car is vM-vP = -53 i -(-84j) km/h

vM-vP = (-53 i + 84 j ) km/h

a) x-component of velocity is -53 km/hr

b) y-component of velocity is 84 km/hr

c) theta = tan^(-1)(530/840)= 32.3 degrees

theta = tan^(-1)(Vy/Vx) = tan^(-1)(53/84) = 32.3 degrees

hence the angle between them is 32.3-32.3 = 0 deg

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