The distance in feet that a football travels when launched from the ground with an initial velocity of V0 ft/sec is given by: x = (v0 sinT cosT)/16, where T is the angle btw the trajectory and the ground.
a) Use an identity to write the distance x as a fxn of 2T. (the hint given was: use double angle identity sin(2x) = 2sin(x)cos(x).
b) How would I graph the fxn from part a) using an initial velocity of 50 ft/sec?
c) From your graph, determine the value of theta that maximizes x. Does this value of T max x for any velocity? Explain.
d) When Morten Anderson kicks a football 55 yd using the angle determined in part c), what is the initial velocity of the football in mph? (hint given was: justify answer 49.5 mph).
e) do you think the actual initial velocity for a 55-yd field goal is larger or smaller than that found in part d?

If you can answer all or even just parts of my question, that would be fabulous! Some help is better than none at all! So thank you in advance. Hopefully this will help me to better understand Trig. = )

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