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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275361

Chapter 2, Problem 28RE

Textbook Problem

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Vertical Motion **In Exercises 27 and 28, use the position function**

**for free-falling objects.**

A block is dropped front the top of a 450-foot platform. What is its velocity after 2 seconds? After 5 seconds?

To determine

**To calculate:** The velocity of a ball after 2 seconds and after 5 seconds when a ball is dropped from the top of a 450-foot platform, and the position time function is given by,

**Given:**

A ball is dropped from the top of a 450-foot platform, and the position time function is given by,

**Formula used:**

The differentiation of *n* is a constant value and *x* is a variable.

Also,

The relation between *x* and *v* is given by,

**Calculation:**

The velocity of the ball at any time *t* will be,

Calculus of a Single Variable

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Finding Derivatives In Exercises 99 and 100, the...Ch. 2.4 - Doppler Effect The frequency F of a fire truck...Ch. 2.4 - Harmonic Motion The displacement from equilibrium...Ch. 2.4 - Pendulum A 15-centimeter pendulum moves according...Ch. 2.4 - Wave Motion A buoy oscillates in simple harmonic...Ch. 2.4 - Modeling Data The normal daily maximum...Ch. 2.4 - HOW DO YOU SEE IT? The cost C (in dollars) of...Ch. 2.4 - Biology The number N of bacteria in a culture...Ch. 2.4 - Depreciation The value V of a machine t years...Ch. 2.4 - Finding a Pattern Consider the function f(x)=sinx,...Ch. 2.4 - Conjecture Let f be a differentiable function of...Ch. 2.4 - Think About It Let r(x)=f(g(x)) and s(x)=g(f(x)),...Ch. 2.4 - Using Trigonometric Functions (a) Find the...Ch. 2.4 - Even and Odd Functions (a) Show that the...Ch. 2.4 - Proof Let u be a differentiable function of x. Use...Ch. 2.4 - Using Absolute Value In Exercises 115-118. use the...Ch. 2.4 - Using Absolute Value In Exercises 115-118. use the...Ch. 2.4 - Using Absolute Value In Exercises 115-118. use the...Ch. 2.4 - Using Absolute Value In Exercises 115-118. use the...Ch. 2.4 - Linear and Quadratic Approximations The linear and...Ch. 2.4 - Linear and Quadratic Approximations The linear and...Ch. 2.4 - True or False? In Exercises 121-124. determine...Ch. 2.4 - True or False? 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