A missile

A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises? Fps foot per second.

Correct answer:

h =  127.421 ft

Step-by-step explanation:

v0=100 ft/s α=30  g=9.81 m/s2  vy=v0 sinα°=v0 sin30° =100 sin30° =100 0.5=50 ft/s vx=v0 cosα°=v0 cos30° =100 cos30° =100 0.866025=86.60254 ft/s  vyg t=0  t=vy/g=50/9.81=98150005.0968 s  h=vy t21 g t2=50 5.096821 9.81 5.09682=127.421 ft

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