Question

The angle of projection to have maximum height and range in the ratio 1:4 is
a) 30°
b) 45°
c) 60°
d) 750​

Answer 1

Maximum Height $\bf{H_m_a_x=\dfrac{U^2sin^2\theta}{2g}}$

Range R = $\bf{\dfrac{U^2sin2\theta}{g}}$

Given Ratio = 1 : 4

$\bf{\dfrac{H_m_a_x}{R}=\dfrac{1}{4}......(A.T.Q)}$

tanθ=1

⇒θ=45°

​  

Answer 2

Answer:

Maximum Height  

Range R =  

Given Ratio = 1 : 4

tanθ=1

⇒θ=45°

$Maximum Height Range R = Given Ratio = 1 : 4tanθ=1⇒θ=45°$

Explanation: