The function h= - 16t^{2} + 48t represents the height h (in feet) of a kickball t seconds after it is kicked from the ground. a) Find the maximum height of the kickball. b) Find and interpet the axis of symmetry.

Daniaal Sanchez 2021-01-13 Answered
The function h= 16t2 + 48t represents the height h (in feet) of a kickball t seconds after it is kicked from the ground. a) Find the maximum height of the kickball. b) Find and interpet the axis of symmetry.
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Expert Answer

Delorenzoz
Answered 2021-01-14 Author has 91 answers

a) Concept used: Maximum or minimum value of the function.

Calculation: On comparing the equation ax2 + bx + c,
a= 16, b=48, c=0

Since, a < 0

The function has minimum value. For minimum value, Calculate t, t=b2a Therefore, t=(48)2(16) So, t=4832

On substituting t=32 in equation. h= 16 (32)2 + 48 (32)

On squaring, h= 16 (92) + 48 (32)

On solving, h= 4 (9) + 24 (3)

Therefore, t=36

b) Concept used: Formula for axis of symmetry, t=b2a.

Calculation: On comparing the equation ax2 + bx + c,
a= 16, b=48, c=0

Calculate the axis of symmetry, t=b2a

Therefore, t=482(16)

So, t=4832

The axis of symmetry, t=32

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