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A ball is projected so as to attain maximum range. Determine the angle with whic...


Question

A ball is projected so as to attain maximum range. Determine the angle with which the ball must be projected.

Options

A) 15\(^{\circ}\)

B) 30\(^{\circ}\)

C) 60\(^{\circ}\)

D) 45\(^{\circ}\)

The correct answer is D.

Explanation:

The range of a projectile is given as
\(R = \cfrac{U^2\sin2\theta}{g}\)
At maximum range \(\sin 2\theta = 90^{\circ}\)
\(\sin 2\theta = 90^{\circ}\)
Therefore \(\theta = 45^{\circ}\)

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Dicussion (1)

  • The range of a projectile is given as
    \(R = \cfrac{U^2\sin2\theta}{g}\)
    At maximum range \(\sin 2\theta = 90^{\circ}\)
    \(\sin 2\theta = 90^{\circ}\)
    Therefore \(\theta = 45^{\circ}\)

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