A tortoise and a hare decide to have a race. As the race begins, both start from rest and accelerate forward. The hare accelerates uniformly at a rate of 0.8 m/s² for 4.3 seconds. It then continues at a constant speed for 13.1 seconds, before getting tired and slowing down with constant acceleration eventually coming to rest 56 meters from where it started. The tortoise accelerates uniformly for the entire distance and manages to arrive to the finish line 2 sec earlier than the hare.

A tortoise and a hare decide to have a race. As the race begins, both start from rest and accelerate forward. The hare accelerates uniformly at a rate of 0.8 m/s² for 4.3 seconds. It then continues at a constant speed for 13.1 seconds, before getting tired and slowing down with constant acceleration eventually coming to rest 56 meters from where it started. The tortoise accelerates uniformly for the entire distance and manages to arrive to the finish line 2 sec earlier than the hare.

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: A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and…

A: We have been given that h = 1.55 m t = 0.57 Using these values, the value of acceleration due to…

Q: A a vs. t graph is drawn for a car moving in one direction. The graph shows a horizontal line at a =…

A: there are three equation of motion v = u + at v2 - u2 = 2as s = ut + 0.5 at2 where v = final…

Q: A test car starts from rest on a horizontal circular track of 110-m radius and increases its speed…

Q: You decide to travel by car for your holiday visits this year. You leave early in the morning to…

A: The initial velocity of the car, v1=68.0 mph The time for which it had travelled with an initial…

Q: Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and…

A: Solution-

Q: "A ball starts from rest and accelerates at 0.525 m/s2 while moving down an inclined plane 8.25 m…

A: Initial velocity= 0 m/s acceleration= 0.525 m/s2

Q: Speed v, m/s 2/41 The electronic throttle control of a model train is programmed so that the train…

Q: A small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m.…

A: GIVEN time period = 0.10 s Radius of circle = 0.5 m

Q: Two fan carts are in a race. Fan cart A has a uniform acceleration of 5 (cm/s)/s, and starts the…

A: The motion of 2 fan carts are given. 1st fan cart's acceleration and initial position is given. 2nd…

Q: Question #1 of 3:Rocky McBlock is a receiver for the Kennesaw Kilowatts in Metro Metric Football…

A: Given:- Rocky leaves the line of scrimmage when the ball is snapped and runs forward for t1= 12…

Q: Part (a) What is the student's overall average velocity vavg, in meters per second, for the trip…

Q: A car at a traffic signal starts from rest and makes a left turn in a circular trajectory of radius…

A: GivenInitail velocity Of car (u)=0Radius of circular Trajectory (r)=6 mSpeed (v) of car in 2 s (t)=9…

Q: Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and…

Q: Find the direction of the total acceleration vector. Express your answer as a positive number with…

Q: Lisa in her Lamborghini accelerates at the rate of (3.401-4.20j) m/s², while Jill in her Jaguar…

A: Given, Acceleration of Lisa aL=3.40 i^-4.20 j^ m/s2 Acceleration of Jill aJ=2.20 i^+2.60 j^ m/s2…

Q: John goes for a run. From his house, he jogs north for exactly 5.0 min at an average speed of 8.0…

A: When John goes for a run, North exactly 5 min at an average speed of 8km/hr. so, the distance John…

Q: Wil-E-Coyote drops a bowling ball off a cliff to try to catch the Roadrunner. The cliff is 181.8 m…

A: Every object on the surface of the earth attracts towards the center of the earth. A freely falling…

Q: The infamous chicken is dashing toward home plate with a speed of 5.7 m/s when he decides to hit the…

A: (a) The magnitude of acceleration is given by,

Q: You throw a m =0.9 kg ball straight up, giving it an initial velocity of magnitude v= 10 m/s.…

A: Given data: Mass (m) = 0.9 kg Initial velocity (v0) = 10 m/s Acceleration due to gravity (g) = 9.8…

Q: Chapter 02, Problem 086 A motorcyclist who is moving along an x axis directed toward the east has an…

Q: As a city planner, you receive complaints from local residents about the safety of nearby roads and…

Q: A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with…

A: The latter method is the easiest to find how long the swimmer’s feet were in air.

Q: A particle starts from the origin at t=0 with a velocity of 8.0 m/s and moves in the xy plane with…

A: Given Data :Initial speed u→ = (8 j^ ) msacceleration a→ = 3.5 i^+1.7 j^ ms2Let i^ denotes the…

Q: A rocket in free space generates a constant acceleration of (+8x^)[ms2](+8x^)[ms2]. If at t1=4t1=4…

Q: I am currently learning about kinematics in my physics class. For one of the questions, it asks me…

A: Suppose a car (or any other object) starts from rest and travels a distance s in time t. If it is…

Q: Cities A and B are connected by a straight road of total length 200 miles.Two cars depart cities A…

Q: Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The trap-jaw ant, found throughout tropical South America, catches its prey by very rapidly closing…

Q: Problem 8: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that…

A: Write the given values with the suitable variables. v=4.4 cm/year=4.4×10-2 m365×24×60×60…

Q: A circular racetrack has a distance of 755 m. A racer is currently driving her car on the racetrack.…

A: We are given the circumference of circle. We first find radius of circle. We are given the final…

Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

A tortoise and a hare decide to have a race. As the race begins, both start from rest and
accelerate forward. The hare accelerates uniformly at a rate of 0.8 m/s² for 4.3 seconds. It
then continues at a constant speed for 13.1 seconds, before getting tired and slowing down with
constant acceleration eventually coming to rest 56 meters from where it started. The tortoise
accelerates uniformly for the entire distance and manages to arrive to the finish line 2 sec earlier
than the hare.
Figure 1:

(d) What is the acceleration of the hare once it begins to slow down?
(e) What is the total time the hare is moving?
(f) What is the acceleration of the tortoise and its velocity at the finish line?
(g) Sketch in the plots above (or feel free to make your own) hare's position and velocity vs.
time.

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

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 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

A ball is thrown straight downward with an initial speed of 6.43 from the roof of a building. It hits the ground a time of 1.14s after it is thrown. Ignore air resistance. The height of the building is _m. Express your answer as a positive number.
Fast Car: On a hot day in the flats, the temperature is 103.6 degrees. A driver finds an empty, flat stretch of desert that is 1776 meters long and decides to push the limits of his car. He finds the car can accelerate from 0 to 60 mph (26.8 m/s) in 4.30 s. Now he wants to see how fast the car can go. Assume the car maintains the same average acceleration until it reaches its top speed of 84.8 m/s. (a) How long will it take the car to reach its top speed? (b) How far will the car travel before it reaches its top speed?
On a hot day in the flats, the temperature is 100.9 degrees. A driver finds an empty, flat stretch of desert that is 1575 meters long and decides to push the limits of his car. He finds the car can accelerate from 0 to 60 mph (26.8 m/s) in 4.21 s. Now he wants to see how fast the car can go. Assume the car maintains the same average acceleration until it reaches its top speed of 69.1 m/s. (a) How long will it take the car to reach its top speed? (b) How far will the car travel before it reaches its top speed?
A boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided. Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?
A Ferris wheel with radius 8.5 m initially rotates clockwise at a constant rate by completing 1.25 rev in 40.00 s. It then begins to decelerate at a rate of 0.40 rad/s2 with its only passenger at the top of the wheel. Find the direction of the total acceleration vector. Express your answer as a positive number with respect to the positive x-axis. Choose up and to the right as your positive direction.
You and your family are going on a road trip to visit your recently married cousin in B.C. The total round trip distance is 2100 km. On the way to B.C., you encounter no setbacks and you are able to drive on average at a constant speed. On the way home from B.C., you encounter a snowstorm and your mom has to slow down to avoid getting into an accident. Thus, your average speed decreases by 10 km/h. If the total driving time was 42 hours, what was your average speed on the way to B.C.? Recall distance = speed x time.
An object moves in the x-y plane with a constant acceleration of 2i +3j meters per second squared. The object starts at the origin with some initial velocity. After four seconds (4 seconds) the velocity of the object is 2i + 8j meters per second. Determine the object’s initial velocity. Leave answer in i-j notation. Determine the position of the object at time, t = 4 seconds. Leave answer in i-j notation. Thank you for your help.
The earth moves around the sun in an orbit that is roughly circular with a radius of 1.5 x 10^11m once every year (1 year = 3.15 x 10^7s). What is the magnitude of the acceleration experienced by the Earth?
In the winter sport of bobsledding, athletes push their sled along a horizontal ice surface and then hop on the sled as it starts to careen down the steeply sloped track. In one event, the sled reaches a top speed of 9.2 m/sm/s before starting down the initial part of the track, which is sloped downward at an angle of 5.0 degrees. What is the sled's speed after it has traveled the first 140 m?
Question 3 of 3: Rocky McBlock is a receiver for the Kennesaw Kilowatts in Metro Metric Football League. In this league all distances on the field are measured in meters, and Rocky always runs straight up and down the field (there is no sideways motion - only motion towards and away from the end zone). Rocky leaves the line of scrimmage when the ball is snapped and runs forward for 18 meters at a speed of 9 seconds. He catches the ball and continues to run forward for 16 more meters in 12 seconds, at which point he reaches the end zone. What is his speed before he catches the ball? What is his speed after he catches the ball? What is his average speed for the whole play from the time he leaves the line of scrimmage until the time he reaches the end zone?
Please asap
Fast Car: On a hot day in the flats, the temperature is 106.2 degrees. A driver finds an empty, flat stretch of desert that is 1913 meters long and decides to push the limits of his car. He finds the car can accelerate from 0 to 60 mph (26.8 m / s) in 4.95 s. Now he wants to see how fast the car can go. Assume the car maintains the same average acceleration until it reaches its top speed of 87.9 m / s. (a) How long will it take the car to reach its top speed? (b) How far will the car travel before it reaches its top speed?