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QUESTION

Bob fires an arrow into the air. The horizontal distance traveled by this arrow before hitting the ground is given in meters by the formula 0(9) = v2...

Bob fires an arrow into the air. The horizontal distance travelled by this arrow before hitting the ground is given in meters by the formula:

D(2

where v=5m/s is the initial velocity in m/s, where g=9.8m/s2 is the acceleration due to gravity, and where is the firing angle in radians with respect to the horizontal. Find the angle 0(Pi/2) for which the distance D is maximized. Give the exact value.

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Bob fires an arrow into the air. The horizontal distance traveled by this arrow before hitting the ground is given in meters by theformula 0(9) = v2 sin(26)’ wherev = 5 m / s is the initial velocity in mls, where g = 9.8 In / s2 is the acceleration due to gravity, and where 9 is thefiring angle in radians with respect to the horizontal. Find the angle 9 with O 5 6 5 1r / 2 for which the distance D ismaximized. Give the exact value.
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