1The height of a baseball after it is hit by a bat is modelled by the function h(t) = -4.8t² + 21t + 1.2 where h(t) is the height in meters above the ground and t is the time in seconds after the ball was hit. a) Write down the height of the ball above the ground at the instant it is hit by the bat. b) Find the value of t when the ball hits the ground. c) State the appropriate domain for t in this model.
1The height of a baseball after it is hit by a bat is modelled by the function h(t) = -4.8t² + 21t + 1.2 where h(t) is the height in meters above the ground and t is the time in seconds after the ball was hit. a) Write down the height of the ball above the ground at the instant it is hit by the bat. b) Find the value of t when the ball hits the ground. c) State the appropriate domain for t in this model.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**The height of a baseball after it is hit by a bat is modeled by the function:**
\[ h(t) = -4.8t^2 + 21t + 1.2 \]
where \( h(t) \) is the height in meters above the ground and \( t \) is the time in seconds after the ball was hit.
a) Write down the height of the ball above the ground at the instant it is hit by the bat.
b) Find the value of \( t \) when the ball hits the ground.
c) State the appropriate domain for \( t \) in this model.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd86db678-bc86-44fd-bd72-7c276c312ad6%2Fdb7becfd-d2e8-42d3-816c-f2ad33faa81a%2F5h9nvma_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**The height of a baseball after it is hit by a bat is modeled by the function:**
\[ h(t) = -4.8t^2 + 21t + 1.2 \]
where \( h(t) \) is the height in meters above the ground and \( t \) is the time in seconds after the ball was hit.
a) Write down the height of the ball above the ground at the instant it is hit by the bat.
b) Find the value of \( t \) when the ball hits the ground.
c) State the appropriate domain for \( t \) in this model.
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