Problem: An arrow is shot at an angle of 0-45° above the horizontal with initial speed of 46.5 m/s. The arrow hits a tree a horizontal distance D, at the same height above the ground as it was shot. Assuming there is no air resistance: a) Find the initial upward component of velocity. b) Find the initial horizontal component of velocity. c) Find t, the time that the arrow spends in the air d) Find the horizontal distance D (range). e) What is the maximum height the arrow goes to?

FREE Expert Solution

Uniform accelerated motion (UAM) equations, a.k.a. "kinematics equations":

 vf = v0 -gty= (vf+v02)ty= v0t-12gt2 vf2= v02 -2gy

2D vectors, Magnitude & Direction/Components:

vx=|v| cos θvy=|v| sin θ

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Problem Details

An arrow is shot at an angle of 0-45° above the horizontal with initial speed of 46.5 m/s. The arrow hits a tree a horizontal distance D, at the same height above the ground as it was shot. Assuming there is no air resistance: 

a) Find the initial upward component of velocity. 

b) Find the initial horizontal component of velocity. 

c) Find t, the time that the arrow spends in the air 

d) Find the horizontal distance D (range). 

e) What is the maximum height the arrow goes to?

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