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?

Question

Zoey Wolf

Physics

21 May, 01:12

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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Answers (1)

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Sunshine · Answer 1

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