An object is projected with a velocity of 20 ~m / s making an angle of 45^ with horizontal. The equation for the trajectory is h=A x-B x^2 where h is height, x is horizontal distance A and B are constants. The ratio A: B is (g=10 ~ms ⁻² )

Step-by-step solution

u=20 ~m / s , =45^ Equation of trajectory h=A x-B x^2 Standard equation h=x - g x^2 2 u^2 ^2 On comparing the two equations aligned A & = , B= g 2 u^2 ^2 A B & = g 2 u^2 ^2 = 2 u^2 ^2 g & = 2 (20)^2 ^2 45^ 45^ 10 & = 2 400 ( 1 2 )^2 1 10 & =2 40 1 2 =40 aligned A: B=40: 1