A Knight of the Round Table fires off a vat of burning pitch from his catapult at 15.9 m/s, at 30 ◦ above the horizontal. The acceleration of gravity is 9.8 m/s2. How long is it in the air?

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Physics

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26 September, 01:14

A Knight of the Round Table fires off a vat of burning pitch from his catapult at 15.9 m/s, at 30 ◦ above the horizontal. The acceleration of gravity is 9.8 m/s2. How long is it in the air?

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Raelynn Santana · Answer 1

We can determine the time in the air by the initial vertical velocity component Vyo. To get the Vyo this is the formula;

Vyo = 15.9 sin (30)

Vyo = 7.95 m/s

So, the initial vertical velocity component vyo is 7.95 m/s

Vy becomes zero at

t = Voy/g

t = 7.95 m/s / 9.8 m/s^2

t = 0.81 s

It is 0.81 s long that the catapult is in the air.