Sapling Learning Map You would like to shoot an orange in a tree with your bow a

Question

Sapling Learning Map You would like to shoot an orange in a tree with your bow and arrow. The orange is hanging 5.00 m above the ground. On your first try, you fire the arrow at 36.0 m/s at an angle of 30.0° above the horizontal from a height of 1.30 m while standing 56.0 mm away. Treating the arrow as a point 30.0 rojectile and neglecting air resistance, what s the height of the arrow once it has traveled the 56.0 m horizontally to the tree? 5.00 m 1.30 m Number 56.0 m If you fire at the same speed and angle on your second try, how far away could you stand such that the arrow will hit the o arowns fn. Sel Assume that the orange remains fixed in place during the 6.8 m 13.3 m 108 m 62.5 m 102 m NexEx O Previous Give Up & View Solution O Check Answer 0 Next-1 Exit- Hint

Explanation / Answer

A)

Initial Horizontal and vertical velocities

Vox=36Cos30=31.177 m/s

Voy=36Sin30=18 m/s

time taken to travel 56 m is

t=d/Vox =56/31.177 =1.796 s

From

Y=Yo+Voyt-(1/2)gt2

Y=1.3+18*1.796-(1/2)*9.8*1.7962

Y=17.82 m

b)

From

Y=Yo+Voyt-(1/2)gt2

5=1.3+18t-(1/2)*9.8*t2

4.9t2-18t+3.7=0

t=3.454 s,0.21856 m

Horizontal distance

d1=31.177*3.454=108 m(approx)

d2=31.177*0.21856=6.8 m

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