You would like to shoot an orange in a tree with your bow and arrow. The orange

Question

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 33.0 m/s at an angle of 30.0° above the horizontal from a height of 1.30 m while standing 50.0 m away. Treating the arrow as a point projectile and neglecting air resistance, what is the height of the arrow once it has traveled the 50.0 m horizontally to the tree? 30.0 5.00 m 1.30 m 50.0 m Number Im 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 orange? Assume that the orange remains fixed in place during the arrow's flight. Select all that apply 82.9 m 6.9 m 13.2 m 89.2m 56.3 m

Explanation / Answer

Considering motion along horizontal

50= (33* cos 30)* t

t= 1.75 s

Considering motion along vertical

h= 1.3+ 33* sin 30* 1.75-0.5*9.8*1.75^2

h= 15.17 m . (Ans)

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Considering motion along vertical

5= 1.3 + 33 sin 30*t-0.5*9.8* t^2

Solving for t,

t= 3.125, 0.241

Horizontal distance where we could stand at

D1= 33 cos 30* 0.241

D1= 6.9 m (ans)

D2= 33* cos 30* 3.125

D2= 89.2 m (ans)

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Comment in case any doubt.. good luck

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