(a) To determine To calculate: The time t taken by the rock to strike the ground when thrown out of a window by Travis while he was standing on the fourth floor of an eight-story building. The initial height was 60 feet with an initial velocity of 0 feet per second. Explanation Given Information: A rock is thrown out of the window by Travis while he was standing on the fourth floor of an eight-story building with an initial height of 60 feet and an initial velocity of 0 feet per second. Formula used: Projectile motion formula: According to this formula, when any object is thrown upward, it gains height h after t seconds of its projection which can be calculated by solving the formula, h = 1 2 g t 2 + v 0 t + h 0 Here, g is the acceleration due to gravity. v 0 is the initial velocity of object. h 0 is the initial height of object. Also, If, h is in feet then g = − 32 ft/sec 2 . If, h is in meters then g = − 9.8 m/sec 2 . Steps to determine the roots of the given quadratic equation. Step 1 : Compare the given quadratic equation with the general form a x 2 + b x + c = 0 and note down the values of coefficients a , b and c . Step 2 : Substitute the value of coefficients in quadratic formula x = − b ± b 2 − 4 a c 2 a and solve for x . Calculation: Consider the values v 0 = 0 feet per second, h 0 = 60 feet. As, the rock hits the ground, therefore the distance of rock above the ground will be zero Hence, substitute the value of h = 0 . As, value of h is in feet therefore, g = − 32 ft/sec 2 (b) To determine To calculate: The time t after which the rock thrown from the roof by Courtney while standing on the roof of an eight-story building from an initial height 120 feet with an initial velocity of 0 feet per second to hit the ground. (c) To determine To calculate: The time taken by the rock to hit the ground when the rock was thrown upward by Travis and Courtney from the window and roof of an eight-story building at 60 feet and 120 feet from the ground respectively with an initial velocity of 100 feet per second and 60 feet per second will hit the ground and further state whose rock will strike the ground first. (d) To determine To calculate: The time at which both the rocks thrown by Travis and Courtney will be at the same distance from the ground.

Intermediate Algebra For College Students (10th Edition)

10th Edition

ISBN: 9780134758992

Author: Allen R. Angel, Dennis Runde

Publisher: PEARSON

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Question

Chapter 8.2, Problem 111ES

(a)

To determine

To calculate: The time t taken by the rock to strike the ground when thrown out of a window by Travis while he was standing on the fourth floor of an eight-story building. The initial height was 60 feet with an initial velocity of 0 feet per second.

(b)

To determine

To calculate: The time t after which the rock thrown from the roof by Courtney while standing on the roof of an eight-story building from an initial height 120 feet with an initial velocity of 0 feet per second to hit the ground.

(c)

To determine

To calculate: The time taken by the rock to hit the ground when the rock was thrown upward by Travis and Courtney from the window and roof of an eight-story building at 60 feet and 120 feet from the ground respectively with an initial velocity of 100 feet per second and 60 feet per second will hit the ground and further state whose rock will strike the ground first.

(d)

To determine

To calculate: The time at which both the rocks thrown by Travis and Courtney will be at the same distance from the ground.

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Chapter 8.2, Problem 110ES

Chapter 8.2, Problem 112ES

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Chapter 8 Solutions

Intermediate Algebra For College Students (10th Edition)

Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Prob. 3ES Ch. 8.1 - Prob. 4ES Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Prob. 6ES Ch. 8.1 - Prob. 7ES Ch. 8.1 - Prob. 8ES Ch. 8.1 - Prob. 9ES Ch. 8.1 - Prob. 10ES

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