Map Sapling Learning macmillan learning You would like to shoot an orange in a t

Question

Map Sapling Learning 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 31.0 m/s at an angle of 30.0° above the horizontal from a height of 1.30 m while standing 52.0 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 52.0 m horizontally to the tree? 30.0% 5.00 m 1.30 m Number 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 fixed in place during the arrow's flight. Select all that apply 9.5 m 77.9 m 54.5 m 75.4 m 7.0 m

Explanation / Answer

in horizontal,

t = 52 / (31 cos30) = 1.94 sec

in vertical,

yf - yi = v0y t + ay t^2 / 2

h - 1.30 = (31 sin30)(1.94) + (-9.8 x 1.94^2 / 2)

h - 1.30 = 11.6

h = 12.9 m .........Ans

now yf = 5 m

5 - 1.30 = (31 sin30)t - 4.9 t^2

t = 0.26 and2.90 sec

d = (31 cos30) t

putting both t

d = 6.9 and 77.9 m

Ans: 7 m and 77.9 m

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