Question

A ball is projected from a point with some velocity Vo not at an angle 30 degree with the horizontal as shown in the figure consider a target at point q . the ball will hit the target,then velocity Vo is (1)2root5 (2)7.5 (3)4 (4)2root10​

Answer 1

Given :

Let the point Q be the maximum height, then we have

⇒ H(max) = 1/2 m

θ = 30°

To find :

Initial velocity, i.e., v₀

Calculation:

- We know that maximum height of projectile can be calculated by formula :

H (max) = v₀² sin²θ / 2g

⇒ H (max) = v₀² sin²30 / 2g

⇒ 1/2 = v₀² (1/2)² / (2 × 10)

⇒ v₀² = 40

⇒ v₀ = √40

⇒ v₀ = 2√10 m/s

- So correct answer is option (4) 2√10 m/s