A cannonball is shot from a cannon on a 5 meter platform. The trajectory of the cannon's height is given by the equation: H(t) = -5t? + 30t + 5 Where H(t) is the height in meters at time t in seconds. a) Find the height at 3.5 seconds. b) Find the time at which the cannonball hits the ground. c) Find the times at which the cannonball reaches its maximum height. d) What is the maximum height?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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A cannonball is shot from a cannon on a 5 meter platform. The trajectory of
the cannon's height is given by the equation:
H(t) = -5t² + 30t + 5
Where H(t) is the height in meters at time t in seconds.
a) Find the height at 3.5 seconds.
b) Find the time at which the cannonball hits the ground.
c) Find the times at which the cannonball reaches its maximum height.
d) What is the maximum height?
Transcribed Image Text:A cannonball is shot from a cannon on a 5 meter platform. The trajectory of the cannon's height is given by the equation: H(t) = -5t² + 30t + 5 Where H(t) is the height in meters at time t in seconds. a) Find the height at 3.5 seconds. b) Find the time at which the cannonball hits the ground. c) Find the times at which the cannonball reaches its maximum height. d) What is the maximum height?
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