Motion in 2D

  • Thread starter hackett5
  • Start date
  • #1
9
0

Homework Statement



A football player has to kick a ball through the uprights that are 36m away and 3.05 high. He kicks the ball at 20m/s and at an angle of 53 degrees. By how much does the ball clear or fall short of the goal?

Homework Equations


Horizontal Range= vi2 sin 2[tex]\Theta[/tex]/ g

Height = vi2sin2[tex]\Theta[/tex]/2g

The Attempt at a Solution



Using the formulas for range and hieght, I found that the ball traveled a total of 39.23m and reached a maximum height of 13.02. The ball traveled far enough, but how do I find how high the ball was at 36m to see if there was enough height?
 

Answers and Replies

  • #2
radou
Homework Helper
3,115
6
Hint: calculate the time at which the ball was at 36 m, and then plug that time into the equation that determines the height of the ball.
 

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