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A soccer player kicks the ball toward a goal that is 28.2m infront of him. The b

ID: 1752086 • Letter: A

Question

A soccer player kicks the ball toward a goal that is 28.2m infront of him. The ball leaves his foot at a speed of 19.1m/s and anangle of 30 degrees above the ground. Find the speed of the ballwhen the goalie catches it in front of the net. (note: the answeris not 19.1m/s) Im lost on how to even start the problem! A soccer player kicks the ball toward a goal that is 28.2m infront of him. The ball leaves his foot at a speed of 19.1m/s and anangle of 30 degrees above the ground. Find the speed of the ballwhen the goalie catches it in front of the net. (note: the answeris not 19.1m/s) Im lost on how to even start the problem!

Explanation / Answer

the horizontal velocity of the ball is 19.1*cos30º or 16.54m/s * the vertical velocity of the ball is related to the height ofthe ball, but the initial value is 19.1*sin30º or 9.55m/s * the time for the ball to reach the goal is   28.2m /16.54m/s   or   1.70s * the vertical velocity at the goal is   9.55 - (g *1.70) or 9.55 - (9.81*1.70) or 7.13m/s(downward) * adding (vectors) the horizontal and vertical velocities ___ v2 = 16.542 +7.132 ___ v = 18.0m/s
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