A long jumper leaves the ground at an angle of 20 degrees above the horizontal, at a speed of 11 m/sec. The height of the jumper can be modeled by...
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Question

A long jumper leaves the ground at an angle of 20 degrees above the horizontal, at a speed of 11 m/sec. The height

of the jumper can be modeled by h(x) = -0.046x^2 + 0.364x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch.


A) At what horizontal distance from the point of launch does the maximum height occur? Please help me round 2 decimal places.


B) What is the maximum height of the long jumper? Please help me round 2 decimal places.


C) What is the length of the jump? Please help me round 1 decimal place.

Top Answer

(A) Horizontal distance from the point of launch where the maximum... View the full answer

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The height of the jumper can be modeled by
h(x) = -0.046x2 + 0.364.r,
where
h = The jumper's height in meters and
r = Horizontal distance from the point of launch
(A)
h has a local maximum when
dh...

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