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IRISSAK [1]
3 years ago
13

A clown is shot out of cannon with a velocity of 200 feet per second at an angle of 24°

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

Vertical component of velocity is 81.35 ft/sec.

Horizontal component of velocity is  182.6 ft/sec.

Step-by-step explanation:

Horizontal component of velocity is defined as:

v_{x} = v\times cos\theta

Vertical component of velocity is defined as:

v_{y} = v\times sin\theta

Where v_{x} , v_{y} are the horizontal and vertical components of velocity.

v is the actual velocity and

\theta is the angle with horizontal axis at which the object was thrown.

Here, we are provided with the following:

v = 200 ft/sec

\theta = 24^\circ

v_{x} = 200 \times cos24^\circ\\\Rightarrow 200 \times 0.913\\\Rightarrow v_{x} = 182.6 ft/sec

v_{y} = 200 \times sin24^\circ\\\Rightarrow 200 \times 0.407\\\Rightarrow v_{y} = 81.35 ft/sec

So, Vertical component of velocity is 81.35 ft/sec.

Horizontal component of velocity is  182.6 ft/sec.

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