STANDARDPhysics-Projectile Motion

STANDARD Physics Angle of Projection MCQ Question

Type: MCQ-conceptual-Medium

The equations of motion of a projectile are given by x = 36t m and 2y = 96t − 9.8 t² m. The angle of projection is

A

sin⁻¹(4/5)

B

sin⁻¹(3/5)

C

sin⁻¹(4/3)

D

sin⁻¹(3/4)

Correct Answer

Option A

Detailed Explanation

The initial horizontal and vertical components of velocity are found using the derivatives of x and y with respect to time. The ratio of these components gives tanθ = 48/36 = 4/3. Using trigonometric identities, θ = sin⁻¹(4/5).

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