COMEDK2021PhysicsMotion in Two Dimensions
The angle of projection with the horizontal in terms of maximum height attained and horizontal range is given by
Options
- A⁻¹ ( 2 H 3 R )
- B⁻¹ ( 4 R 3 H )
- C⁻¹ ( 4 H R )
- D⁻¹ ( R H )
Correct answer
C. ⁻¹ ( 4 H R )
Step-by-step solution
The maximum height H attained by a projectile is given by H = u^2 ^2 2g . The horizontal range R of the projectile is given by R = u^2 (2 ) g = 2u^2 g . Dividing the expression for H by the expression for R , we get: H R = u^2 ^2 2g 2u^2 g H R = u^2 ^2 2g g 2u^2 H R = 4 = 1 4 Rearranging the terms to solve for : = 4H R Therefore, the angle of projection is given by: = ⁻¹ ( 4H R ) Answer: ⁻¹ ( 4 H R )