A placekicker must kick a football from a point 36.0m from the goal. Half the crowa hopes the ball will clear the crossbar, which is 3.05 m high. When kicked the ball leaves the ground with a speed of 20.0 m/s at an angle of 53° to the horizontal. a) Use coordinate axes given to draw a picture for this problem and list all the known quantities. b) How long does it take to reach the goal post? c) By how much does the ball clear or fall short of the cross arm?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A placekicker must kick a football from a point 36.0m from the goal. Half the crowd
hopes the ball will clear the crossbar, which is 3.05 m high. When kicked the ball
leaves the ground with a speed of 20.0 m/s at an angle of 53° to the horizontal.
a) Use coordinate axes given to draw a picture for this problem and list all the
known quantities.
b) How long does it take to reach the goal post?
c) By how much does the ball clear or fall short of the cross arm?
d) Does the ball approach the crossbar while rising or while falling?
e) What is the final velocity of the ball when it reaches the goal post? List this in
component form and in polar coordinates.
Transcribed Image Text:A placekicker must kick a football from a point 36.0m from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked the ball leaves the ground with a speed of 20.0 m/s at an angle of 53° to the horizontal. a) Use coordinate axes given to draw a picture for this problem and list all the known quantities. b) How long does it take to reach the goal post? c) By how much does the ball clear or fall short of the cross arm? d) Does the ball approach the crossbar while rising or while falling? e) What is the final velocity of the ball when it reaches the goal post? List this in component form and in polar coordinates.
Expert Solution
Step 1

"As per the guidelines i solved the first three subpart".

(a)

The figure shows the co-ordinate axes of the known quantities.

Physics homework question answer, step 1, image 1

Here, v is the speed of the ball, d is the distance of the ball kicked by the player to the goal post, andy is the height of the goal post

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