How Far Will a Ball Travel Before Hitting the Ground?

What is the distance a ball will travel before hitting the ground for the first time after being kicked?

The ball will go till a distance of 0.066 meters before hitting the ground for the first time. The initial vertical velocity of the ball is 10 m/s and the initial horizontal velocity of the ball is 3 m/s. The path of the ball will be a projectile.

Calculation of Horizontal Range:

Horizontal range of the projectile:

R = u² * 2 * cos(A) * sin(A) / g

where:
R = horizontal range
u = initial velocity
A = angle of projection
g = acceleration due to gravity
Perpendicular = 10
Base = 3
Hypotenuse = 10.44

sin(A) = 10.44 / 10
cos(A) = 3 / 10
u = √(10)² + (3)² = 10.44 m/s

Putting the values:
R = 10.44 * 2 * 10.44 / 10 * 3 / 10 * 1 / 9.8
R = 0.066 meters

The ball travels 0.066 meters before hitting the ground for the first time.

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