An SUV, traveling west at 74.0 km/h, is being pursued by a police cruiser, moving at 90.9 km/h.(a) Find the velocity of the SUV (magnitude and direction) relative to the police cruiser. (Give the magnitude in km/h.)magnitudekm/hdirection--Select-(b) Find the velocity of the police cruiser (magnitude and direction) relative to the SUV. (Give the magnitude in km/h.)magnitudekm/hdirection--Select-(c) How much time (in s) will it take the police cruiser to overtake the SUV if initially they are 250 m apart?

Answered: Image /qna-images/answer/51f214b9-a7d9-4396-923a-d3758bbf7437.jpg

An SUV, traveling west at 74.0 km/h, is being pursued by a police cruiser, moving at 90.9 km/h. (a) Find the velocity of the SUV (magnitude and direction) relative to the police cruiser. (Give the magnitude in km/h.) magnitude km/h direction --Select- O (b) Find the velocity of the police cruiser (magnitude and direction) relative to the SUV. (Give the magnitude in km/h.) magnitude km/h direction --Select- (c) How much time (in s) will it take the police cruiser to overtake the SUV if initially they are 250 m apart?

An SUV, traveling west at 74.0 km/h, is being pursued by a police cruiser, moving at 90.9 km/h. (a) Find the velocity of the SUV (magnitude and direction) relative to the police cruiser. (Give the magnitude in km/h.) magnitude km/h direction --Select- O (b) Find the velocity of the police cruiser (magnitude and direction) relative to the SUV. (Give the magnitude in km/h.) magnitude km/h direction --Select- (c) How much time (in s) will it take the police cruiser to overtake the SUV if initially they are 250 m apart?

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)...

See similar textbooks

Similar questions

Which of the following statements is incorrect? Distance and displacement are always equal in magnitude. A scalar quantity specifies both the magnitude and unit. In a coordinate system, the x-component in quadrant 1 is always positive. Acceleration is a rate of change of velocity. A vector quantity specifies both the magnitude and direction.
A velocity vector has components 36 m/s westward and 22 m/s northward. What are the magnitude and direction of this vector?
1. A train travels 115 km east from city A to city B in 2.00 hr and then 252 km south from city B to city C in 3.00 hr. For the total trip: (a) What is the magnitude of the train's displacement? (b) What is the direction of the train's displacement? (The angle of the train's net dis- placement with respect to the eastern direction.) (c) What is the magnitude of the train's average velocity? (d) What is the direction of the train's average velocity? (The angle of the train's average velocity with respect to the eastern direction.) (e) What is the average speed of the train?
We choose a reference system with the positive x-axis in the eastward direction and the positive y-axis vertically upward. In this frame of reference, vCE = 45.0 km/h in the positive x-direction, and VRE = Vrain in the negative y-direction. For the velocity components of the car and rain relative to the Earth, we have (V ce)x = +([ (VRE)x = 0, ] km/h), cely = 0 (VREly = -Vrain Therefore, for the x-component of velocity of the rain relative to the car, we have (VRc)x = 0 - ] km/h) = - (| ] km/h). and for the y-component of velocity of the rain relative to the car, = -Vrain- 0 = -Vrain %3D
A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particularday, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30 degrees and fly 4.0 kmin the new direction. How far north or south of their original position are the birds?
A girl delivering newspapers covers her route by traveling 1.75 blocks west, 3.75 blocks north, and then 6.75 blocks east.What her resultant displacement? - magnitude - direction (north of east)
A plane flies 479 km east from city A to city B in 45.0 min and then 950 km south from city B to city C in 1.10 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east).
Two velocity vectors are defined as follows: ₁ = 40.0 m/s, 50.0° cw from the +x axis v₂ = 30.0 m/s, 75.0° cw from the -y axis a) b) Sketch the vector ₁ on an x-y grid. Label any relevant angle. Calculate the x- and y-components of ₁. Write the vector in terms of its components using unit vector notation. c) d) e) v₂ – v- Calculate the x- and y-components of the change in velocity defined as A = Write the vector Av in terms of its components using unit vector notation. Sketch the vector A on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part. f) g) Calculate the magnitude and direction of the vector Av. h) Finally, write the vector Av in terms of its magnitude and direction. Sketch the vector v₂ on an x-y grid. Label any relevant angle. Calculate the x- and y-components of 7₂. Write the vector ₂ in terms of its components using unit vector notation.
On a day when the wind is blowing toward the south at 4 m/s , a runner logs west at 1.6 m/s s.what is the magnitude of of the air relative to the runner Calculate answer to one decimal.
Part A) A projectile is launched with speed v0v0 and angle θθ. Derive an expression for the projectile's maximum height hh. Express your answer in terms of the variables v0v0, θθ, and appropriate constants. Part B) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part C) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part D A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units. Part E) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units.
You drive 5.50 km in a straight line in a direction 25° East of North. (a) Find the distances you would have to drive straight East and then straight North to arrive at the same point. (This is equivalent to finding the components of the displacement along the East and North directions.) km East km North(b) Show that you still arrive at the same point if the East and North legs are reversed in order.
A strong wind blows due east with a constant speed of 50 mph. An airplane travels from one city to another which is due north, moving with a speed of 143 mph relative to the air. What is the speed of the airplane, in mph, relative to the ground? [Hint: Draw a diagram for the vector addition.]