Question: A runner sprints around a circular track of radius 100 m at a constant speed of 7 m/s. The runners friend is standing at a

A runner sprints around a circular track of radius 100 m at a constant speed of 7 m/s. The runner’s friend is standing at a distance 200 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 200 m?

Step by Step Solution

★★★★★

3.41 Rating (179 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

100 D D do 40000sin 0 Now if D is the distance run when dt the angle i... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-C-D (201).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

A jogger is running around a circular track of circumference 400 m. If the jogger has a speed of 12 km/h, what is the magnitude of the centripetal acceleration of the jogger?

A uniform sphere of radius 100 m and density 2000 kg/m 3 is in free space far from other massive objects. (a) Find the gravitational field outside of the sphere as a function of r. (b) Find the...

A runner times his speed around a circular track with a circumference of 0.478 mi. At the start he is running toward the east and the track starts bending toward the north. If he goes halfway around,...

A runner sprints around a circular track of radius 100 m at a constant speed of 7 m/s. The runner's friend is standing at a distance 200 m from the center of the track. How fast is the distance...

A runner sprints around a circular track of radius120m at a constant speed of 7 m/s. The runner's friend is standing at a distance240m from the center of the track. How fast is the distance between...

1. Lincoln is driving a remote controlled car around a circular track. The car is traveling at a constant speed of 8.3 m/s, and the track has a radius of 9.6 m. What is the car's centripetal...

5. The horizontal tumtable shown to the right rotates at a constant rate. As viewed from above. a coin on the turntable moves counterclockwise in a circle as shown. Which of the following vectors...

What are the Answers to all theses questions? EXERCISE Ill.5 1 Find the height of a agpole which casts a shadow of 9.32 111 when the sun makes an angle of 63 to the horizontal. 2 A hill is inclined...

Hey tutors, kindly help me with this physics exercise prep for an exam. Explanation need not be too detailed 1. [-/2 Points] DETAILS SERCP11 2.QQ.001. MY NOTES ASK YOUR TEACHER The figure below shows...

Write a complete C++ program that creates an Alligator class and uses objects of this class. The Alligator class consists of following components. Properties (using public access modifier): weight:...

Consider the following simple corporate example involving one stockholder and one manager. There are two mutually exclusive projects in which the manager may invest and two possible manager...

4 A sequence has the nth term n +3. Show that the first four terms of the sequence are 31, 4, 4 and 5.

Variance analysis, hospital (adapted from CMA, June 1989) Mountain View Hospital has adopted a standard cost accounting system for evaluation and control of nursing labor. Diagnosis-related groups...

Asahi USA, Inc., based in Denver, Colorado, is a subsidiary of a Japanese company manufacturing specialty tools. Asahi USA employs a standard cost system. Following are the standards per unit of one...

Sales variance analysis Bakery Extraordinaire sells several types of muffins and scones and also sells carrot bread loaves. Planned prices and sales quantities for February are shown here: The actual...

Discuss the possible effect on human behavior of a preoccupation with variances in financial control.

The data listed in the following table gives hourly measurements of heat flux q (cal/cm2/h) at the surface of a solar collector. As an architectural engineer, you must estimate the total heat...

PROBLEM 7-15. (Appendix) Batch Size Decision and Constraints At Jordan Outdoor Furniture, the powder coating process is a bottleneck. Typically, it takes approximately two hours to switch between...

(a) Use a graph of f to give a rough estimate of the intervals of concavity and the coordinates of the points of inflection. (b) Use a graph of f 0 to give better estimates. f (x) = (x - 1) 2 (x + 1)...

Estimate the intervals of concavity to one decimal place by using a computer algebra system to compute and graph f(x) = x - tan -1 x/1 + x 3

In an episode of The Simpsons television show, Homer reads from a newspaper and announces Heres good news! According to this eye-catching article, SAT scores are declining at a slower rate. Interpret...

Consider a project to supply Detroit with 30,000 tons of machine screws annually for automobile production. You will need an initial $3,800,000 investment in threading equipment to get the project...

C++ : Please write the code in one function not multiple functions. Learning Objectives: Use of for loops to solve counter-controlled problems Use of do/while loops for validation and/or menu loops...

Richard Gaziano is a manager for Health Care, Inc. Health Care deducts Social Security, Medicare, and FIT (by percentage method) from his earnings. Assume a rate of 6.2% on $128,400 for Social...