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Tanya [424]
2 years ago
9

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

rojection
Physics
1 answer:
Arisa [49]2 years ago
8 0

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°

Learn more about angle of projection

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Part 2)

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Let the speed of bullet when it leaves the barrel is v.

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(b)

In projectile motion,

Maximum height, H_m=\frac{v^2\sin^2\theta}{2g} \\

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3 years ago
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