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Assume you are a Medieval knight attacking a castle with a cannon. The ball leaves the cannon with a speed of 47.7 m/s. The barrel's angle with respect to the ground is 43.1°, and you make a perfect hit on the tyrant's chamber which is at the same level as the cannon's muzzle. What is the time of flight of the cannon ball?

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joseaaronlara

Answer:

The answer to your question is t = 6.64 s

Explanation:

Data

vo = 47.7 m/s

Ф = 43.1°

t = ?

g = 9.81 m/s²

Formula

The ball is describing a projectile motion, let's use the formula of time for this motion.

t = (2vosinФ)/g

-Substitution

t = [2(47.7)(sin43.1)]/9.81

-Simplification

t = [95.4(0.68)]/9.81

t = 65.18/9.81

-Result

t = 6.64 s

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