sapling learning You would like to shoot an orange in a tree with your bow and a

Question

sapling 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 38.0 m/s at an 30.0 angle of 30.00 above the horizontal from a height of 1.10 m while standing 59.0 m away. Treating the arrow as a point 5.00 m projectile and neglecting air resistance, what is the height of the arrow once it has 1.10 m traveled the 59.0 m horizontally to the tree? 59.0 m Number 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. 11.3 m 116 m 7.2 m 1.20 x 102 m 63.1 m Map

Explanation / Answer

Here ,

h1 = 5 m

h2 = 1.1 m

theta = 30 degree

initial speed , u = 38 m/s

distance , d = 59 m

for the height h

y = h2 + x * tan(theta) - g * x^2/(2 * (v * cos(theta))^2)

y = 1.1 + 59 * tan(30) - 9.8 * 59^2/(2 * (38 * cos(30))^2)

solving y

y = 19.41 m

the height of the arrow is 19.41 m

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let the distance is x

Using projectile trajectory

h1 = h2 + x * tan(theta) - g * x^2/(2 * (v * cos(theta))^2)

5 = 1.1 + x * tan(30) - 9.8 * x^2/(2 * (38 * cos(30))^2)

solving for x

x = 120.5 m , 7.2 m

the distance from the apple must be 1.2 *10^2 m and 7.2 m

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