place-kicker must kick a football from a point 36.0 m ( about 40 yards ) from the goal. Half of the crowd hopes the ball will clear the crossbar, which is 3.05 high. When kicked, the ball leaves the ground with a speed of 23.9 m/s at an angle of 51.5 degrees to the horizontal. (a) By how much does the ball clear or fall short of clearing the crossbar? ( Enter a negative answer it falls short. (b) Does the ball approach the crossbar while rising or while falling

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 9P
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A place-kicker must kick a football from a point 36.0 m ( about 40 yards ) from the goal. Half of the crowd hopes the ball will clear the crossbar, which is 3.05 high. When kicked, the ball leaves the ground with a speed of 23.9 m/s at an angle of 51.5 degrees to the horizontal.

(a) By how much does the ball clear or fall short of clearing the crossbar? ( Enter a negative answer it falls short.

(b) Does the ball approach the crossbar while rising or while falling.

Step 1

(a) The football is moving with constant velocity in the x-direction. We denote the initial horizontal position of the football by xo and its initial x- component of velocity by vox. For the position in the horizontal directional direction in terms of time t, we x=xo+voxt.

Solving for t gives the following equation= t=x-xo\vox

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