A soccer ball is kicked at an angle of 45° above the horizontal and travels a horizontal distance of 15 meters. If soccer ball was kicked at the same speed but change the angle t…

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asked Sep 20, 2024 151k views

1 Answer

Yamiko · Answer 1 · 2024-09-26T21:44:56+0000

To find out how far the soccer ball will travel horizontally when kicked at 60°, we can use the range formula for projectile motion.

To find out how far the soccer ball will travel horizontally when kicked at 60°, we can use the range formula for projectile motion.

The range of a projectile is given by the equation:

R = (v^2 * sin(2θ)) / g

Where R is the range, v is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity.

Given that the initial speed of the ball is the same and the angle has changed to 60°, we can calculate the new horizontal distance:

R = (v^2 * sin(2 * 60)) / g

Substituting the values, the new horizontal distance will be:

R = (v^2 * sin(120)) / g

R = (v^2 * √3 / 2) / g

Since the initial speed and acceleration due to gravity are constant, the horizontal distance will be the same, which is 15 meters.