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nlexa [21]
3 years ago
5

The launch speed of a projectile is three times the speed it has at its maximum height.what is the elevation angle at launch?

Physics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

Given: a projectile of initial launch velocity(V) and launch angle ∅ and no air resistance. At the maximum height, the projectile would have a zero contribution of speed from the vertical component(Vy) Therefore, if we say Vx=Vcos∅ is the only speed the projectile has at the instant of maximum height then we can replace Vx with 1/5V and write 1/5V=Vcos∅. Solving for the the launch angle ∅, gives Inverse Cos(1/5)=78.5 degrees.

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Answer:

The maximum height that a cannonball fired at 420 m/s at a 53.0° angles is 5740.48m.

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Explanation:

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So, when the cannonball is fired it has horizontal and vertical components:

V₀ₓ = V₀ cos θ₀ = (420m/s)(cos 53°) = 252.76 m/s

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When the cannoball reach the maximum height the vertical velocity component is zero, that happens in a tₐ time:

Vy = V₀y - g tₐ = 0

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tₐ = (335.43m/s)/(9.8m/s²) = 34.23s

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