Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dp = 710 m from the intersection and moving at speed vp = 71 km/h. Motorist Mis distance dM = 580 m from the intersection and moving at speed vM = 58 km/h. What are the (a) x-component and (b) y-component of the velocity of the motorist with 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 between the two cars?

Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dp = 710 m from the intersection and moving at speed vp = 71 km/h. Motorist Mis distance dM = 580 m from the intersection and moving at speed vM = 58 km/h. What are the (a) x-component and (b) y-component of the velocity of the motorist with 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 between the two cars?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...

See similar textbooks

Similar questions

A miniature quadcopter is located at xi = −2.50 m and yi = 2.70 m at t = 0 and moves with an average velocity having components vav, x = 1.70 m/s and vav, y = −2.50 m/s. What are the x-coordinate and y-coordinate (in m) of the quadcopter's position at t = 3.10 s?
The drawing shows two cars traveling in different directions with different speeds. Their velocities are: vAG = velocity of car A relative to the Ground = 32.4 m/s, due eastvBG = velocity of car B relative to the Ground = 21.0 m/s, due northThe driver of car B looks out the window and sees car A. What is the velocity (magnitude and direction) of car A as observed by the driver of car B? In other words, what is the velocity vAB of car A relative to car B?
A cruise ship sails due north at 4.50 m/s while a coast guard patrol boat heads45.0° north of west at 5.20 m/s. What are (a) the x- and (b) y-components of the velocity of the cruise ship relative to the patrol boat? (See Section 3.5.)
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi=(3.00i2.00j)m/s and is at the origin. At t = 3.00 s, the particles velocity is vf=(9.00i+7.00j)m/s. Find (a) the acceleration of the particle and (b) its coordinates at any time t.
A particle initially located at the origin has an acceleration of = 1.00ĵ m/s2 and an initial velocity of i = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). (b) Find the velocity of the particle at any time t. (c) Find the coordinates of the particle at t = 3.00 s. (d) Find the speed of the particle at t = 3.00 s.
An electron’s position is given by ,with t in seconds and in meters. (a) In unit-vector notation, whatis the electron’s velocity ? At t 2.00 s, what is (b) in unit-vector notation and as (c) a magnitude and (d) an angle relative tothe positive direction of the x axis?
Immediately after the bouncing golf ball leaves the floor, its components of velocity are Vx = 0.535m/s and Vy = 3.038m/s. Determine the horizontal distance (meters) from the point where the ball left the floor to the point where it hits the floor again.
A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particular day, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30◦ and fly 4.0 km in the new direction. How far east of their original position are the birds?
A particle is moving on xy plane, with x=15sin(2t), and y = 20cos(2t) Find the magnitude of the velocity as a function of time
A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The coordinates of the rabbit’s position as a function of time t are given by: x = -0.3t2 + 5t + 28 and y = 0.22t2 - 8t + 30 with t in seconds and x and y in meters. What is the velocity at t= 10 sec?
Hockey player A carries the puck on his stick and moves in the direction shown with a speed vA = 3.0 m/s. In passing the puck to his stationary teammate B, by what angle α should the direction of his shot trail the line of sight if he launches the puck with a speed of 6.6 m/s relative to himself?
An athlete crosses a 29 m wide river by swimming perpendicular to the water current at a speed of 1.1 m/s relative to the water. He reaches the opposite side at a distance 35m downstream from his starting point. How fast is the water in the river flowing with respect to the ground in m/s?