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In the homecoming game, the field goal kicker attempts to make a 47 yard (43 m) field goal. He kicks with an initial velocity of 20 m/s at an angle of 60° The field goal posts are 3 m high. Does he make the field goal? Explain your answer.

Respuesta :

Eduard22sly

Given the data from the question, the goal kicker did not make the field goal.

To determine if the goal kicker makes the field goal, we shall determine the distance (i.e range) travelled by the ball after it was kicked by the kicker. This can be obtained as follow:

How to determine the range

  • Initial velocity (u) = 20 m/s
  • Angle of projection (θ) = 60 °
  • Acceleration due to gravity (g) = 9.8 m/s²
  • Range (R) = ?

R = u²Sine(2θ) / g

R = 20² × Sine (2×60) / 9.8

R = 400 × Sine 120 / 9.8

R = 35.3 m

Since the distance travelled by the ball is 35.3 m and the goal post is situated 47 yard (43 m) away.

Thus, we can conclude that the goal kicker did not make the goal as the ball did not get to the post which is 47 yard (43 m)

Learn more about projectile motion:

brainly.com/question/20326485

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