Now the steps to solve the problem: (a) You need to maximize how far the textbook travels horizontally be- fore it reaches an altitude of 0. So first use the formula for h(t) and the quadratic formula to determine at what value of time t the text- book will reach an altitude of 0. Your answer will be in terms of Vvert- (b) Now that you have determined how long the textbook will be in motion (assuming it actually can make it across the river), how far will the textbook travel horizontally before it reaches altitude 0? Your answer will be in terms of Vyert and Vhorz. (c) Use your knowledge of trigonometry to express Vvert and Vhorz in terms of 0. (d) Now express the horizontal disțance the textbook will travel in terms of 0. (e) Solve the optimization problem: which choice of value for 0 will max- imize the horizontal distance the textbook travels? It is okay if your answer has trig or inverse trig functions in it (but it does not need to), but it does need to be a number, in radians (not degrees).
Now the steps to solve the problem: (a) You need to maximize how far the textbook travels horizontally be- fore it reaches an altitude of 0. So first use the formula for h(t) and the quadratic formula to determine at what value of time t the text- book will reach an altitude of 0. Your answer will be in terms of Vvert- (b) Now that you have determined how long the textbook will be in motion (assuming it actually can make it across the river), how far will the textbook travel horizontally before it reaches altitude 0? Your answer will be in terms of Vyert and Vhorz. (c) Use your knowledge of trigonometry to express Vvert and Vhorz in terms of 0. (d) Now express the horizontal disțance the textbook will travel in terms of 0. (e) Solve the optimization problem: which choice of value for 0 will max- imize the horizontal distance the textbook travels? It is okay if your answer has trig or inverse trig functions in it (but it does not need to), but it does need to be a number, in radians (not degrees).
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.2: Functions: Their Graphs And Applications
Problem 54PS
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