Elda White
Feb 08, 2025
A good quarterback can throw a football at 27m/s;m/s (about 60mph;mph ).?
A good quarterback can throw a football at a speed of 27 m/s (approximately 60 mph).
Part A: Assuming the ball is caught at the same height from which it is thrown and ignoring air resistance, what is the maximum range, in meters (which is approximately the same as the range in yards), of a pass thrown at this speed?
Part B: How long is the ball in the air?
2 Answers
Maximum range is achieved if the ball is thrown at 45 degrees to horizontal.
Initial vertical V component = (sin 45 x 27) = 19.1m/sec.
Time to max. height = (v/g) = 19.1/9.8 = 1.949 secs.
b) Double it, = 3.898 secs. time in air.
Horizontal launch V component = (cos 45 x 27) = 19.1m/sec.
a) Max. range = (19.1 x 3.898s) = 74.45 metres.
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