HELP with physics problem?

[匿名]

2016-10-12 10:20 pm

A quarterback claims that he can throw the football a horizontal distance of 177 m. Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 33.6 ° above the horizontal. To evaluate this claim, determine the speed with which this quarterback must throw the ball. Assume that the ball is launched and caught at the same vertical level and that air resistance can be ignored. For comparison a baseball pitcher who can accurately throw a fastball at 45 m/s (100 mph) would be considered exceptional.

回答 (1)

NCS

2016-10-13 4:37 pm

✔ 最佳答案

There is a simple formula for this:
range x = V²sin(2Θ) / g
Here,
177 m = V² * sin67.2º / 9.8m/s²
which solves to
V = 43.4 m/s
Seems super-exceptional to me. (That's almost two football fields, btw.)

Hope this helps!

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