11. An object is propelled upward at an angle 0, where 45° initial velocity of vo (measured in feet per second) from the base of a plane that makes an angle
of 45 degrees with the horizontal. If air resistance is ignored, the distance R that it travels up the
inclined plane is given by the function
võvz
R(O) = cos(() [sin(O) - cos(0)]
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a.
b.
Show that RO)
va va
[sin(20) - cos(20) - 1]
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In calculus, you will be asked to find the angle that maximizes R by solving the
following equation
sin(20) + cos(20) = 0
Solve the equation for theta:
C. What is the maximum distance R if Vo = 25 feet per second?
d. Graph R = R(O), where 45° more than equal to 90°, and the angle theta maximizes the distance