Question

An object is thrown along a direction inclined at an angle of ${45}^{\circ }$ with the horizontal direction. The horizontal range of the particle is equal to

• A. Vertical height
• B. Twice the vertical height
• C. Thrice the vertical height
• D. Four times the vertical height

Answer 1

The correct option is D

Four times the vertical height

$R=4Hcot\theta if\theta ={45}^{\circ }thenR=4Hcot\left({45}^{\circ }\right)=4H$