You must show and/or explain your work 1. A for each problem t8 receive ieul dog

Question

You must show and/or explain your work 1. A for each problem t8 receive ieul dog and squirrel are at war. The squirrel taunts the dog and the dog chases the squirrel up the tree. The dog and squirrel have done this routine before, but this time the squirrel has had enough and developed a new acorn gun to shoot the dog from the tree. The acorn gun can only be shot at 30° above horizontal and the speed of the acorn coming out is 11.2233 m/s. If the tree is 30 meters away from the dog and the dog is 1/2 meter high, how high up the tree should the squirrel go to shoot the anti-dog gun? Air resistance is negligible for the sleek acorns.

Explanation / Answer

According to the concept of the motion in two dimensional

Given that

Range R=30 m

Height h1=0.5 m

Angle=30°

Speed u=11.2233 m/s

Now we find the height

Range R=(u cos)*[2(h2-h1)/g]^1/2

30=(11.2233*cos30)*[2*(h2-0.5)/9.8]^1/2

30=9.72*[2*(h2-0.5)/9.8]^1/2

3.1=[2(h2-0.5)/9.8]^1/2

3.1^2=[2(h2-0.5)/9.8]

3.1^2*9.8=2(h2-0.5)

94.178/2=h2-0.5

47.089=h2-0.5

Height h2=47.589 m

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