Two highways intersect as shown in the figure. At the instant shown, a police car Pis distance dp = 810 m from the intersection and moving at speed vp = 81 km/h. Motorist Mis distance dm = 430 m from the intersection and moving at speed VM = 43 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? M d₁ 3 100 VM P x

Two highways intersect as shown in the figure. At the instant shown, a police car Pis distance dp = 810 m from the intersection and moving at speed vp = 81 km/h. Motorist Mis distance dm = 430 m from the intersection and moving at speed VM = 43 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? M d₁ 3 100 VM P x

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 1P: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00...

See similar textbooks

Related questions

Q: Question 2 A person walks due East for 10 meters and then due North for 10 meters. What is the total…

Q: A cameraman on a pickup truck is traveling westward at 20 km/h while he videotapes a cheetah that is…

Q: Two highways intersect as shown in the figure. At the instant shown, a police car Pis distance dp =…

A: It is given that, car P is at a distance of dP=810 m from the intersection car M is at a distance of…

Q: While vacationing in the prairie you go on a nature walk. First you walk 260 m south, then a coyote…

A: d1→ = 260 m due south d2→ = 180 m due south west d3→ = 140 m @30o east of north

Q: I have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins…

Q: When a rocket reaches an altitude of a meters, it begins to travel along the parabolic path as shown…

A: Write the given data: equation of motiony-a2=bx ⋯⋯1wherea=40mb=154c=209 m/sh=93mlet the component…

Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

Q: An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time…

Q: A web page designer creates an animation in which a dot on a computer screen has position r=[4…

Q: An Olympic diver is on a diving platform 3.50 m above the water. To start her dive, she runs off of…

Q: While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote…

A: Given Data: First leg of displacement (A→) = 160 m, south.Second leg of displacement (B→) = 260 m,…

Q: The kinematic equations can describe phenomena other than motion through space and time. Suppose x…

A: Acceleration is defined as the rate at which v changes; v is the time rate change of money i.e.…

Q: A car is 2.52 km west of a traffic light at t = 0 and 4.28 km east of the light at t = 6.00 min.…

A: Given: at t=0 , car is at 2.52 km west of traffic light at t=6.0 min, car is at 4.28 km east of…

Q: A particle moving with an initial velocity vo = (10m/s)î and initial position 7, = (4m)î + (2m)j,…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A cameraman on a pickup truck is traveling westward at 20 km/h while he records a cheetah that is…

A: a) The required magnitude of the acceleration relative to cameraman is, b) The direction of…

Q: Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dp =…

Q: The kinematic equations can describe phenomena other than motion through space and time. Suppose x…

A: The kinematic equations have applications beyond describing motion in space and time. Consider a…

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

A: Given: x=(18.0 m/s)ty=(4.0 m/s)t-(4.90 m/s2)t2

Q: We choose a reference system with the positive x-axis in the eastward direction and the positive…

Q: A quarterback throws a football while standing at the very center of the field on the 50 yard line.…

A: Width of the field is length of the field Ball leaves his hand at a height .So, Initial position…

Q: Land west of the San Andreas fault in southern California is moving at an average velocity of about…

A: The expression for find time is ∆t=distanceConstant

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

Q: À hicker begins a trip walking 30 km southe her car. She stops and er tent ffor the night On

A: Hi, please find the solution below. For the day please use the value 25 in place of 40. dere is one…

Q: A projectile is launched at a height of h feet above the ground at an angle of e with the…

Q: The equation r(t) = ( sin t) i + ( cost)j + (t) k is the position of a particle in space at time t.…

A: The velocity of a particle is the rate of change of displacement with respect to time. That is,…

Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

Q: You are kidnapped by political-science majors (who are upset because you told them political science…

Q: The kinematic equations can describe phenomena other than motion through space and time. Suppose x…

A: Given: The initial money in the account is v0 = 0. The value of a is a =−3.82 ✕ 102 $/month2. The…

Q: The kinematic equations can describe phenomena other than motion through space and time. Suppose x…

A: Let, the person initial bank balance is , x0= 500 $ and, A/Q, dxdtθ=v0=0 and the…

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dp = 810 m from the intersection
and moving at speed vp = 81 km/h. Motorist M is distance dm = 430 m from the intersection and moving at speed VM = 43 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?
(a) Number i
(b) Number
(c) Number
i
d
M
DIOR
VM
Units
Units
Units
dp
Vp

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The equation r(t) = ( sin t)i + ( cos t)j + (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. π Then write the particle's velocity at t= as a product of its speed and direction. The velocity vector is v(t) = (i+j+ k.
A cameraman on a pickup truck is traveling westward at 20 km/h while he records a cheetah that is moving westward 30 km/h faster than the truck. Suddenly, the cheetah stops, turns, and then runs at 45 km/h eastward, as measured by a suddenly nervous crew member who stands alongside the cheetah’s path.The change in the animal’s velocity takes 2.0 s.What are the (a) magnitude and (b) direction of the animal’s acceleration according to the cameraman and the (c) magnitude and (d) direction according to the nervous crew member?
I have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins his journey by traveling 58 meters in a direction directly south. He then runs 100.0 meters in a direction 30◦north of west. During the last leg of his journey, he follows a scent for 59 meters in a direction 30◦east of north. What distance does Wags end up from his initial startingpoint?
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?
A rocket is shot straight up in the air from the ground at a rate of 46 feet per second. The rocket is tracked by a rangefinder that is 427 feet from the launch pad. Let d represent the distance from the rocket to the rangefinder and t represent the time, in seconds, since "blastoff". Express d as a function of t.
A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 19.4t and y = 4.04t - 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and j. (Give the answer in terms of t.) F = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector v as a function of time マ= m/s (c) obtain the expression for the acceleration vector a as a function of time m/s? (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.94 s. = m/s a = m/s2
A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. write a vector expression for the ball's position as a function of time.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Three seconds after automobile B passes through the intersection shown, automobile A passes through the same intersection. Given, the speed of automobile A is vA = 55.00 mi/h and automobile Bis vg= 34.00 mi/h, respectively. Also, know that the speeds are constant for the automobiles during the encounter. N. 70 VA vB Determine the change in position of B with respect to A during a 4-s interval. (You must provide an answer before moving on to the next part.) The change in position of B with respect to A during a 4-s interval is ft at an angle of
An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i + (3r² + 201) j The unit vectors i and j are that are directed horizontally and vertically respectively. The aeroplane is initially at ground level. a) Find the time when the height of the aeroplane is 500 metres. ( seconds) b) Find the speed of the aeroplane at this time. ( m/s) c) Find the magnitude of acceleration of the aeroplane. ( m/s2)
A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. Write a vector expression for the ball’s velocity as a function of time.
A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by the following expressions: 2. x = (18.0 m/s)t and y = (4.00 m/s)t – (4.90 m/s²) t² (a) Write a vector expression for the ball's position as a function of time, using the unit vectors i and j. By taking derivatives, obtain expressions for (b) the velocity vector v as a function of time and (c) the acceleration vector a as a function of time. Next use unit-vector notation to write ex- pressions for (d) the position, (e) the velocity, and (f) the acceleration of the golf ball, all at t = 3.00 s.
A particle moving with an initial velocity v, = (10m/s)î and initial position 7, = (4m)î + (2m)j, undergoes an acceleration ở = 2t²î + 4ĵ in SI units. For t = 10 s; a) Calculate the velcoity v= vxI+ vy®. b) Calculate the position r= x+ y. c) What are the magnitudes of the velocity and the position vector of the particle? d) Find also the angle each vector is making with the x-axis at that time.