A catapult launches a pumpkin from the base of a hill. The hill follows an incline with the height in meters, y, in terms of horizontal distance in meters, x, given by the equation y = 0.9x. The height of the pumpkin, as it is launched uphill, is given by the function y = -0.1x² + 4.9x What is the height, in meters, where the pumpkin lands on the hill?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 75A
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A catapult launches a pumpkin from the base of a hill. The hill follows an incline with the
height in meters, y, in terms of horizontal distance in meters, x, given by the equation
y = 0.9x. The height of the pumpkin, as it is launched uphill, is given by the function
y = -0.1x² + 4.9x
What is the height, in meters, where the pumpkin lands on the hill?
Transcribed Image Text:A catapult launches a pumpkin from the base of a hill. The hill follows an incline with the height in meters, y, in terms of horizontal distance in meters, x, given by the equation y = 0.9x. The height of the pumpkin, as it is launched uphill, is given by the function y = -0.1x² + 4.9x What is the height, in meters, where the pumpkin lands on the hill?
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