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Atennis ball was hit into the air. The height of the tennis ball in feet (h) with respect to how far the ball traveled horizontally in feet (d) can be modeled by the quadratic function, h = -da + 8d + 4.

Enter the maximum height in feet, of the tennis ball

feet

Answer 1

0.25feet

Explanation:

The equation is not well written. Let the equation of the height be modelled as;

h = -16d²+8d+4

The velocity of the ball is zero at its maximum height.

Velocity = change in displacement/time

v = dh/dd

Differentiate

v = -32d+8

Since dh/dd = v = 0

0 = -32d+8

Add 32d to both sides

0+32d = 8

32d = 8

Divide both sides by 32

32d/32 = 8/32

d = 1/4

d = 0.25feet

Hence the maximum height of the tennis ball is 0.25feet

Note that the modeled equation was assumed. You can apply the same calculation to any equation given