Suppose a stone is thrown vertically upward from the edge of a cliff on Mars (where the acceleration due to gravity is only about 12 ft/s2) with an initial velocity of 64 ft/s from a height of 192ft above the ground. The height s of the stone above the ground (in ft) after t seconds is given by s = −6t2 + 64t + 192. If our goal was to double the highest point of the stone please select one element in this scenario you could change that would accomplish that goal. Explain what you would change and how that would impact the calculations.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Suppose a stone is thrown vertically upward from the edge of a cliff on Mars (where the acceleration due to gravity is only about 12 ft/s2) with an initial velocity of 64 ft/s from a height of 192ft above the ground. The height s of the stone above the ground (in ft) after t seconds is given by s = −6t2 + 64t + 192.

If our goal was to double the highest point of the stone please select one element in this scenario you could change that would accomplish that goal. Explain what you would change and how that would impact the calculations.

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