A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of the ball, after t seconds, is given by the equation = -4t2 + 48t + 180. h(t) : %3D a) How long does it take the ball to reach itş maximum height? b) Determine the maximum height of the ball. c) At what time does the ball hit the ground? d) Identify the coordinates of points A, B, and C on the graph of the ball's path.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...
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A ball is shot upwards from a cannon which is on a platform 180 m high. The height,
h, in meters, of the ball, after t seconds, is given by the equation
h(t) = -4t2 + 48t + 180.
%3D
a) How long does it take the ball to reach itş maximum height? (
b) Determine the maximum height of the ball.
c) At what time does the ball hit the ground? (
d) Identify the coordinates of points A, B, and C on the graph of the ball's path.
Transcribed Image Text:A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of the ball, after t seconds, is given by the equation h(t) = -4t2 + 48t + 180. %3D a) How long does it take the ball to reach itş maximum height? ( b) Determine the maximum height of the ball. c) At what time does the ball hit the ground? ( d) Identify the coordinates of points A, B, and C on the graph of the ball's path.
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