2) A mouse is running at constant speed of 5 m/s, not aware that a cat was watching it. The cat was 50 m away from the mouse and 100 m away from a hole on the wall the mouse is running to. The cat and the mouse are both on a path that is straight and perpendicular to the wall. The cat begins to chase the mouse with a constant acceleration of 1.38m/s² right at the moment when the mouse was 50 m away from the wall. Will the cat catch up with the mouse before the mouse gets to the hole on the wall?

2) A mouse is running at constant speed of 5 m/s, not aware that a cat was watching it. The cat was 50 m away from the mouse and 100 m away from a hole on the wall the mouse is running to. The cat and the mouse are both on a path that is straight and perpendicular to the wall. The cat begins to chase the mouse with a constant acceleration of 1.38m/s² right at the moment when the mouse was 50 m away from the wall. Will the cat catch up with the mouse before the mouse gets to the hole on the wall?

Name: 2) A mouse is running at constant speed of 5 m/s, not aware that a ca
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: 2) A mouse is running at constant speed of 5 m/s, not aware that a cat was watchingit. The cat was 50 m away from the mouse and 100 m away from a hole on the wallthe mouse is running to. The cat and the mouse are both on a path that is straightand p

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

Related questions

Q: 2. You look outside of your window in your apartment on the 5th floor. You see a ball going straight…

A: The net force acting on an object equals the product of mass and acceleration of the object. An…

Q: In a 80 meter tall building, there are two elevators, 4 meters apart. Elevator A is on the top…

A: Given, vA=-2 m/s vB=1 m/s Total distance=80m time t=5s

Q: you are walking at the same speed of 1.17 m/s.1.17 m/s. Suddenly, you notice a wallet on the ground.…

Q: chapter 4.3 5) The position of a particle moving along the y axis, starting from the origin at t =…

A: Instantaneous speed is explicit as the rate of change of position over a very short period of time…

Q: 1. Cars A and B are traveling respectively at the constant speeds of (v₁), = 22 mi/h and (VB) = 13…

A: Relative velocity: The relative velocity () of object relative to object is given by the…

Q: 1. Situation: An SUV is parked along the side of a roadway, while a van is travelin adjacent to the…

A: Giveninitial speed of van, uV=25 m/s van begins to slow down with a constant rate of 1/5 that of the…

Q: A particle moves in the xy plane, starting from the origin at t = 0 s with an initial velocity…

A: Equation of kinematics is as follows: vtx=v0x+axt…

Q: A distance of 60 meters separates two jetskis at Virginia Beach. Starting at rest, the jetskis…

A: Distance between the jet skis, D = 60 m As both jet skis start from the rest and accelerate at a…

Q: The basketball bounces straight back up off the ground and reaches a maximum height of 4.00m.…

Q: 2) Let r(t) =, −ñ ≤ t ≤ ñ a) Show that the velocity and acceleration vectors are always…

A: Vector.

Q: A car A and car B are travelling in the same direction at 60 kph on a straight highway, parallel to…

Q: A plane accelerates down a runway. Markers beside the runway are 9.3 m apart. The plane moves…

Q: 3 s to t = 6 s. (b) D

Q: (A) What is the velocity at t = 2.00s when the fuel runs out? Equations first numbers last (this…

Q: Two dogs stand facing each other a distance of 105 meters apart. They begin to run towards each…

Q: 1) You are traveling 52 m/s at an angle 58° north of west. What are the x and y components of your…

A: The speed is 52 m/s , 58 0 north of the west. North is +y direction, west is negative x direction

Q: Boats A and B are participating in a race. Their velocities are represented by vectors a and b…

Q: An object A is held at rest at a height H = 25 ft directly above another object B that is on the…

A: As object B moves with a speed rightwards, it will see that along with a downward motion, object A…

Q: 1.Two bodies A and B traveling in opposite directions, pass a given point. Body A traveling eastward…

Q: 1. A particle moves in a straight line with velocity v(t) = 6t² – 18t + 12. c) Also find the…

A: A particle is moving in a straight line having velocity as a function of time asv(t) = 6t2 - 18t +…

Q: Speedy Sue, driving at +30.0 m/s, enters a one-lane tunnel. She then observes a slow- moving van 200…

Q: 4. While thinking, a person standing on a bridge overlooking a highway inadvertently drops an apple…

A: Given: The length of the truck, l= 12m The speed of the truck , v= 55…

Q: Two objects flies towards each other. When the distance between them is 1.3 km their velocities and…

A: Given Data The velocity of object A is:VA=53 m/s The velocity of object B is:VB=17 m/s The…

Q: Problem 3: As a train accelerates uniformly it passes successive kilometer marks while traveling at…

A: The kinematic equation of motion are as follows

Q: The position of the particle at time t is given by s(t) = t² – 8t + 15. - The particle is moving…

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake…

Q: 1. I decided to show the kid in the previous example (h=15 m) how we used to do it back in my day. I…

A: Law of conservation of energy: It states that energy remains conserved and only transformed from one…

Q: 4. A cat is resting on a lawn 25.7 m from a fence with a hole it in. A rabbit, hopping at a constant…

A: Distance of cat from the fence (d) = 25.7 m Constant velocity of rabbit (v) = 8.7 msAcceleration of…

Q: A car travels on a road that is parallel to a train track. The car stops at a traffic light and at…

Q: At the equator, the radius of the Earth is approximately 6370km. A jet flies at a very low altitude…

Q: You have exactly 5 minutes 13 seconds to get to your next class on time and that classroom is 418 m…

A: Distance, D = 4182+4772 = 634.234 m Total time, t = 5 min 13 s = 5*60 + 13 = 313 s Time taken to…

Q: A driver, driving at a constant speed of 30m/s in a 50 mph zone, is unaware that he is being…

Q: car is driving at a speed of 25 m/s on a horizontal road. Determine the minimum distance in which…

Q: You are standing on a straight stretch of road and watching the motion of a bicycle; you choose your…

A: The observer at the origin, and at one instant the position of the bicycle is negative which means…

Q: Q1) There are two cars. Car A moves at a constant velocity Va m/s. Car B moves at a constant…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 2. A particle is traveling on the path r2(t), with acceleration vector (6t, e', 0). Initially at t =…

A: Motion perpendicular are independent of each other. Motion can be uniform or accelerated. Motion is…

Q: A race car travels around the horizontal circular track that has a radius of 310.6m, If the car…

Q: Ferrari and a Lamborghini are travelling in the same direction at 60.0 kph on a straight highway,…

Q: 49) At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the…

A: Given Speed of the particle at t=10 s is 5.0 m/s moving left to right. At t=20 s Speed of the…

Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

2) A mouse is running at constant speed of 5 m/s, not aware that a cat was watching
it. The cat was 50 m away from the mouse and 100 m away from a hole on the wall
the mouse is running to. The cat and the mouse are both on a path that is straight
and perpendicular to the wall. The cat begins to chase the mouse with a constant
acceleration of 1.38m/s? right at the moment when the mouse was 50 m away from
the wall. Will the cat catch up with the mouse before the mouse gets to the hole
on the wall?

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 3 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

25. Suppose there are two identical cars A and B. Car A starts from rest and moves in a straight line with constant acceleration for 4s. Meanwhile, car B starts from rest and moves along the straight line with the same acceleration for only 2 s. What can you say about their displacements? * O x(A) = 2x(B) O x(A) = x(B)/2 %3D O x(A) = x(B)/4
1) The motions of a car and a motorbike along a straight road are described by the velocity vs time graph provided below. The two vehicles are initially alongside each other at time t=0 s. The motorbike’s speed is 18.1 m/s and the time T is 59.9 s. a) what distance has the motorbike travelled between 0 and T (in km)? b) What distance has the car traveled between 0 and T (in km)? 2) Which of these statements is true? a. At T, the car and motorbike are at the same location. b. the acceleration of the car is constant between 0 and T c. the acceleration of the motorbike is 0 d. the acceleration of the car is 0 3) a)What is the car's average speed for the first T seconds? (in m/s) b) What is the motorbike's average speed for the first T seconds (in m/s)
Question 15 Next Question = - A particle travels along the x-axis such that its velocity is given by v(t) = 0.63 sin (t + 2). The position of the 1 and answer the analysis particle is x 2 when t = 4.5. Determine the position, velocity and acceleration at time t = questions below. Use a calculator and round your answer to the nearest thousandth. Answer v(1) a(1) x(1) The particle is moving to the because The velocity of the particle because The speed of the particle because The particle is moving the origin because
4. A car is driving at a speed of 25 m/s on a horizontal road. Determine the minimum distance in whichthe car will stop in each of the following cases.A. On a rainy day where µS = 0.125.B. On a sunny day where µS = 0.650.
Traffic shock wave. An abrupt slowdown in concentrated traffic can travel as a pulse, termed a shock wave, along the line of cars, either downstream (in the traffic direction) or upstream, or it can be stationary. The figure shows a uniformly spaced line of cars moving at speed v = 27.0 m/s toward a uniformly spaced line of slow cars moving at speed vs = 5.30 m/s. Assume that each faster car adds length L = 13.0 m (car length plus buffer zone) to the line of slow cars when it joins the line, and assume it slows abruptly at the last instant. (a) For what separation distance d between the faster cars does the shock wave remain stationary? If the separation is twice that amount, what are the (b) speed and (c) direction (upstream or downstream) of the shock wave?
Particles A and B are launched simultaneously from rest at distances 100 m respectively east and north of the origin. Particle A has acceleration 2 m s² in a north-eastward direction and particle B has acceleration 4 m s² in an eastward direction. Find the shortest distance between the particles in the subsequent motion. B N E A
A distance of 60 meters separates two jetskis at Virginia Beach. Starting at rest, the jetskis accelerate at a constant rate of 0.2 m/s2 towards each other.Starting at a midpoint between the two jetskis, a porpoise is seen swimming from one jetski to the other at a constant speed of 16 m/s. The porpoise continues swimming back and forth between the jetskis until they crash together.a) What is the total distance the porpoise travelled? b) what is the speed of the jetskis when they crash together?
The position of an object moving along the x -axis is given by x = 5.0m 4.0 t m + 2.0 t² m. How many times does this object pass through the point x=0? A. twice, first moving in the positive x-direction, then moving in the negative x-direction B. twice, first moving in the negative x-direction, then moving in the positive x-direction C. only once, moving in the positive x-direction D. only once, moving in the negative x-direction E. never
2A) starts from rest and accelerates continuously at a rate of 4.14 m/s² when the rocket is lit, what is the velocity (both magnitude and direction) of the toy car when it reaches the edge of the cliff? Suppose you place your toy car on flat ground 7.30 m away from a tall cliff. If your toy car
Two cars are leading toward one another. Car A is moving with an acceleration of a = 4 m/s² i. Car B is moving with a constant acceleration ab = -2 m/s2 i and initial velocity of VB = -60 m/s i since it started. The cars are initially separated by a distance d = 900 m on the x-axis and car A is initially at rest. At what distance from the initial position of A do car A and car B meet? A. 200 m B. 400 m C. 300 m D. 500 m E. 600 m ΟΑ OB OC OD SOE K
Car A was traveling east at high speed when it collided at point O with car B , which was traveling north at 45 mi/h. Car C , which was traveling west at 60 mi/h, was 32 ft east and 10 ft north of point O at the time of the collision. Because the pavement was wet, the driver of car C could not prevent his car from sliding into the other two cars, and the three cars, stuck together, kept sliding until they hit the utility pole p. Knowing that the weights of cars A, B, and C are, respectively, 3000 lb, 2600 lb, and 2400 lb, and neglecting the forces exerted on the cars by the wet pavement, solve the problems indicated.Knowing that the coordinates of the utility pole are xp= 46 ft and yp = 59 ft, determine (a) the time elapsed from the first collision to the stop at P,(b) the speed of car A.