need help with 4 A place-kicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ballleaves the ground with a speed of 23.3 m/s at an angle of 53.5° to the horizontal.(a) By how much does the ball clear or fall short of clearing the crossbar? (Enter a negative answer if it falls short.)(b) Does the ball approach the crossbar while still 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 positionin the horizontal direction in terms of time t, we havex = xo + Voxt.Solving for t gives the following equation.t =We do not know the horizontal component of velocity but we can calculate it from the angle of the football's path to the horizontal. Remember that we use trigonometry to find horizontal andvertical components of a vector when we know its magnitude at a particular angle. We have23.3 m/s cos 53.5 ✔✔✔1/s) co53.5 13.86✔Voxx-xoVoxt ==23.3✔Step 2We are looking for the time for the ball to reach the goal, wherex - X is the distance to the goal. Substituting the value we found for Vox into the equation for t above, gives the following fort.3613.9m) - (@ 0✔36 m13.9 m/s0 m= 2.59✔13.9 m/s.2.6 S Step 3We will use the equation for the y-component of displacement under constant acceleration to find the height of the ball at this time, where yo is the initial vertical displacement, voy is theinitial y-component of velocity, and is the vertical acceleration.y = Yo + voyt + 12/2a, t²First we need to calculate voy Using trigonometry, we have23.3✔23.3 m/s sin 53.5✔1/s) siStep 4Voy=ay0 + 18.72.653.5✔Substituting the values we know into the equation for the y-component of displacement above, gives us the following result. Remember that ay = -g. Be careful with signs!m/s)(s) + ²/²/(1y =Your response differs from the correct answer by more than 10%. Double check your calculations. ²)° = 18.7✔18.7 m/s.-9.81 ]✔ m/s²)( [36XYour response differs from the correct answer by more than 100%. mX

Answered: Image /qna-images/answer/d5b23632-60f6-438e-b0a8-bfecb516b276.jpg

Step 4 25.5 Substituting the values we know into the equation for the y-component of displacement above, gives us the following result. Remember that ay = -g. Be careful with signs! 0+ 18.7 ✔m/s) (2.6 s) + ²/([ ✔ m/s²)([ X y = Your response differs from the correct answer by more than 10%. Double check your calculations. s²) -9.81 18.7 m/s. 36 x Your response differs from the correct answer by more than 100%. m

Step 4 25.5 Substituting the values we know into the equation for the y-component of displacement above, gives us the following result. Remember that ay = -g. Be careful with signs! 0+ 18.7 ✔m/s) (2.6 s) + ²/([ ✔ m/s²)([ X y = Your response differs from the correct answer by more than 10%. Double check your calculations. s²) -9.81 18.7 m/s. 36 x Your response differs from the correct answer by more than 100%. m

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 16P: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at...

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