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

Question

Map A 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 36.0 m/s at an angle of 30.0o above the horizontal from a 30.00 height of 1.30 m while standing 44.0 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 1.30 m traveled the 44.0 m horizontally to the tree? 44.0 m Number m AGO Previous Check Answer Next l Exit 8 Hint You are given an initial velocity, an angle, an initial height, a desired final height, and a horizontal distance. The general kinematic equations for the position of a body experiencing constant acceleration are: a t 0yy 2 0x You can use the given information to find the components of the initial velocity, and the acceleration is due only to gravity.

Explanation / Answer

Assume a=9.8m/s^2

distance = velocity* time => t= d/v

t=(44/36cos(30))=1.411s

y=y0+vy*t+1/2at^2

y=1.3+36sin(30)*1.411+1/2*(-9.8)*(1.411)^2

accelaration due to gravity downward

y= 1.3+25.398-9.755 =16.943 meters

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