A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of p

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1 year ago

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rojection

1 answer:

Arisa [49] · Answer 1 · 2023-03-23T06:32:56+03:00

The angle of projection is θ = 53°

<h3>What is the angle of projection?</h3>

The angle between the initial velocity of a body from a horizontal plane through which the body is thrown, is known as angle of projection.
Motion in A Plane. Show that there are two angles of projection for which horizontal range is the same. Thus horizontal range is the same for angle of projection θ and α = 90°–θ.
The maximum height achieved by a projectile ignoring the air resistance is given by HM=U2Sin2 θ 2g.where U is the initial velocity, θ is the angle of projection and g is the acceleration due to gravity.

R = 3H

R = v²sin2θ/g = 2v²sinθcosθ/2 = 3v²sin²θ/2g

tan θ = 4/3

θ = 53°

So, the angle of projection is θ = 53°

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