6. The height of a ball above ground (in metres) after t seconds is given by the function h(t) = -4t² +24t. a.) Sketch a graph. b.) What is the maximum height of the ball? c.) Find the height of the ball after 1 second? d.) At what time will the height of the ball be 32m off the ground? e.) What is the domain and range?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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6. The height of a ball above ground (in metres) after t seconds is given by the function
h(t) = -4t² +24t.
a.) Sketch a graph.
b.) What is the maximum height of the ball?
c.) Find the height of the ball after 1 second?
d.) At what time will the height of the ball be 32m off the ground?
e.) What is the domain and range?
Transcribed Image Text:6. The height of a ball above ground (in metres) after t seconds is given by the function h(t) = -4t² +24t. a.) Sketch a graph. b.) What is the maximum height of the ball? c.) Find the height of the ball after 1 second? d.) At what time will the height of the ball be 32m off the ground? e.) What is the domain and range?
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