Question 4 of 5 Map dt macmillan learning You would like to shoot an orange in a

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Question 4 of 5 Map dt macmillan learning 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 37.0 m/s at an angle of 30.0° above the horizontal from a height of 1.40 m while standing 57.0 m away. Treating the arrow as a point 30.0 5.00 m ectile and neglecting air resistance, what s the height of the arrow traveled the 57.0 m horizo click to edit tree? 1.40 m Number 57.0 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 orange? Assume that the orange remains fixed in place during the arrow's flight. Select all that apply. 1.10 × 102 m 114 m 60.6 m 6.6 m 10.2 m O Previous Give Up & View Solution e Check Answer NextExit 9 Hint

Explanation / Answer

According to the given problem,

a)Using kinamatics.

x=vox*t
t=x/vox
t=57/(37cos30)=1.778 s

y=yo+voyt-1/2gt2
y=1.40 + 37sin30*1.778 - 0.5*9.81*1.7782=18.78 m

y = 18.8 m

b) Similarly,

y = yo+voyt - 1/2gt2
4.9t2-37sin30ot - 1.4 + 5=0
t=3.566 s

Then,

x=vox*t
x = 37cos30*3.566 = 114.26 m

x = 114 m [B]

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