:by a batter when it is 3 feet off the ground. Its height off th + 80t +3, where h is in feet and t is in seconds. esmos to graph h(t) on a domain so that the h – and t -int aph. Write down those points. e graph to find the maximum height of the ball. How long at

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. A softball is hit by a batter when it is 3 feet off the ground. Its height off the ground is given by
h(t) = -16t2 + 80t + 3, where h is in feet and t is in seconds.
Use Desmos to graph h(t) on a domain so that the h – and t -intercepts are visible on
а.
the graph. Write down those points.
b. Use the graph to find the maximum height of the ball. How long after the ball is hit does
it reach it's maximum height?
i. Describe how you read that off the graph
ii. Describe how you can find it algebraically based on the function.
Transcribed Image Text:1. A softball is hit by a batter when it is 3 feet off the ground. Its height off the ground is given by h(t) = -16t2 + 80t + 3, where h is in feet and t is in seconds. Use Desmos to graph h(t) on a domain so that the h – and t -intercepts are visible on а. the graph. Write down those points. b. Use the graph to find the maximum height of the ball. How long after the ball is hit does it reach it's maximum height? i. Describe how you read that off the graph ii. Describe how you can find it algebraically based on the function.
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