A Ball is Kicked: What Was the Initial Velocity?

What was the initial velocity of the ball when it was kicked at an angle of 37° to a goalkeeper who is 24m away?

The initial velocity of the ball when it was projected is 15.64 m/s.

Calculation of the Initial Velocity:

The initial velocity of the ball is calculated using the formula for the range of projectile which is given by: R = (u^2 sin(2θ)) / g Where: - R is the range of the projectile (given as 24m) - u is the initial velocity of the ball - θ is the angle of projection (given as 37°) - g is the acceleration due to gravity (approximately 9.8 m/s^2) By rearranging the formula for initial velocity, we get: u = √((Rg) / sin(2θ)) Substituting the given values into the formula: u = √((24 * 9.8) / sin(2 * 37)) u = √(235.2 / sin(74)) u = √(235.2 / 0.96) u = √244.5 u ≈ 15.64 m/s Therefore, the initial velocity of the ball when it was projected at an angle of 37° to a goalkeeper who is 24m away is 15.64 m/s.
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