Your friend is trapped in a castle tower. You want to send her amessage by attac

Question

Your friend is trapped in a castle tower. You want to send her amessage by attaching it to an arrow and shooting the arrow into awindow in the tower. The angle of the arrow when it leaves the bowis 40 degrees measured from the horizontal, and its initialvelocity is 90 m/s. You are 80m from the tower, and you can neglectyour height.

a. What are the x and y components of the arrows initialvelocity

b. How long does it take for the arrow to reach the window in thetower

c. How high above the ground, h, is the window

Explanation / Answer

.      ux   = 90 * cos40 = 68.94 m /s .    Y - component of Initial velocityis : .      uy  = 90 * sin40 = 57.85 m/s . (b) We know that : .      Horizontal distance R = u sin *t .    or    80 m = ( 90 * sin40 ) *t .    or    t = 80 / (90 *sin40) = 1.38 s . (c) We know that : .    t = (2h / g ) .    or h = g t2  / 2 = ( 9.8 *(1.38)2 ) / 2 = 9.33 m . Hope this helps u!

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