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

Question

Sapling Learning Ma 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 arow at 35.0 m/s at an angle of 30.0° above the horizontal from a height of 140 m while standing 52.0 m away. Treating the arrow as a point projectile and neglecting air resistance, what s the height of the arrow once it has traveled the 52-0 m horizontally to the tree? 300 5.00 m 1.40m 52.0 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 firedin place during he arrow's fight Select ail that apply

Explanation / Answer

  a)
x=v0x*t
t=x/v0x
t=52/(35cos30)=1.71 s
y=y0+v0yt-1/2gt^2
y=1.40+35sin30*1.71-0.5*9.8*1.71^2=16.996 m

b)
y=y0+v0yt-1/2gt^2
4.9t^2-17.5t-1.4+5=0
4.9t^2-17.5t+3.6=0
t=3.35 s
then
x=v0x*t
x=35cos30*3.35=101 m

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