t (minutes) 0 10 18 22 30 v(t) (meters per minute) 0 150 230 -100 200 Cameron jogs along a straight path. For 0 ≤ t≤ 30, Cameron's velocity is given by a differentiable function v. Selected values of v(t), where t is measured in minutes and v(t) is measured in meters per minute, are given in the table. 1. Explain the meaning of the definite integral √30 | v(t) \dt in the context of the problem. 2. Approximate the value of £30 | v(t) |dt using a right Riemann sum with the four subintervals indicated in the table above.

t (minutes) 0 10 18 22 30 v(t) (meters per minute) 0 150 230 -100 200 Cameron jogs along a straight path. For 0 ≤ t≤ 30, Cameron's velocity is given by a differentiable function v. Selected values of v(t), where t is measured in minutes and v(t) is measured in meters per minute, are given in the table. 1. Explain the meaning of the definite integral √30 | v(t) \dt in the context of the problem. 2. Approximate the value of £30 | v(t) |dt using a right Riemann sum with the four subintervals indicated in the table above.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

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