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 the graph. Write down those points. а. 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.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
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Could you solve question a and b with explanation.

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.
How long is the ball in the air?
i. Describe how you read that off the graph
ii. Describe how you can find it algebraically based on the function.
С.
d. The ball's distance (along the ground) from home plate, where it contacted the bat, is
given by d(t) = 60t. How far from home plate is the ball when it hits the ground?
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. How long is the ball in the air? i. Describe how you read that off the graph ii. Describe how you can find it algebraically based on the function. С. d. The ball's distance (along the ground) from home plate, where it contacted the bat, is given by d(t) = 60t. How far from home plate is the ball when it hits the ground? 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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