A football is porojected
angle 300 with the Earth surface Find
of accent and range Take g = loml?
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Answer: Answer:
200 ft
45°
Step-by-step explanation:
Let say at angle α ball is hit with 80 ft/s
Horizontal Velocity = 80 Cosα ft/s
Vertical Velocity = 80 Sinα ft/s
Velocity at Peak = 0
Time to reach Peak using V = u + at
a = -g = -32
=> 0 = 80Sinα - 32t
=> t = 80Sinα/32
=> t = 2.5 Sinα
Time to reah at peak = time to reach ground
=> total Time = 2 * 2.5Sinα = 5Sinα
Horizontal Distance = 80 Cosα * 5 Sinα
= 400 Cosα *Sinα
= 200 * 2*Cosα *Sinα
= 200 Sin2α
Maximum value of Sin2α = 1
Maximum horizontal distance = 200 * 1 = 200 ft
=> 2α = 90°
=> α = 45°
Explanation:
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