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HIlmted subscription trial. Learn more for less with access to over 22.000 ebooks and digital loarning products. Upgrade Today, 3 -111.11 points Glancoli7 3.P.023 A fire hose held near the ground shoots water at a speed of 6.3 m/s. At what angles should the nozzle point in order that the water land 2.0 m away? smaller angle larger angle Why are there two different angles? This answer has not boen graded yet Sketch the two trajectories. (Do this on paper. Your instructor may ask you to turn in your work.) This answer has not been graded yet. 11.11 points Giancoli? 3.P021

Explanation / Answer

Range is given by

R= u^2* sin (2x)/g

2= 6.3^2* sin (2x)/9.8

x= 14.796 (ans)

Another angle= 90-14.796= 75.204 (ans)

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The above angles are equal because range is defined as function of sin (2x) i.e. cosx and sin x simultaneously,

Let us consider a angle 90-x , range corresponding to this angle

R'= u^2 (2* sin (90-x) cos (90-x))/g

R'= u^2 (2* cos x sin x)/g

R'= u^2 sin (2x)/g

R'= R

Hence, rnage fir both angles is supposed to be the same

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Comment in case any doubt.. good luck

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