Aaron was challenged to kick a soccer ball off of the flat roof of the Science B

Question

Aaron was challenged to kick a soccer ball off of the flat roof of the Science Building and into a trashcan 12.3 m away from the edge of the building. The Science Building is 11.3 m tall. Since this is unsafe, Aaron suggested that he works it out on paper instead. Assuming the ball is kicked off the building with only a horizontal velocity, how fast would the ball need to leave the top of the building to land in the trash can? Aaron was challenged to kick a soccer ball off of the flat roof of the Science Building and into a trashcan 12.3 m away from the edge of the building. The Science Building is 11.3 m tall. Since this is unsafe, Aaron suggested that he works it out on paper instead. Assuming the ball is kicked off the building with only a horizontal velocity, how fast would the ball need to leave the top of the building to land in the trash can?

Explanation / Answer

here,

let the time taken be t

11.3 = 0 + 0.5 * g * t^2

11.3 = 0 + 0.5 * 9.81 * t^2

solving for t

t = 1.52 s

the horizontal velocity of ball , vx = 12.3 /t

vx = 12.3 /1.52 m/s

vx = 8.1 m/s

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