Question

an object is projected with a velocity of 20 metre per second making an angle of 45 degree with horizontal equation of trajectory is,h is equal to a x minus b x square where h is height and x is horizontal distance, A and B are constants the ratio of A :B is

Answer 1

Equation of projectile= xtan0-gx^2/

2u^2cos^2theta (compare with)
Gives 1/1/40=40/1

Answer 2

Given :-

Velocity of object = u = 20 ms-¹.

Angle of Projection = Ø = 45°

h = Ax - Bx² ------(1)

y = x tanØ - gx²/2u²Cos²Ø -----(2)

Comparing both the equations, we get,

A = tanØ

B = g/2u²Cos²Ø

A/B = tanØ × 2u²Cos²Ø/g

A/B = tan 45° × 2 (20)² × (1/√2)²/10

A/B = (2 × 400/2)/10

A/B = 40/1

A:B = 40:1

Hence,

Ratio of A:B = 40:1