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November 15th, 2015, 07:50 AM  #1 
Member Joined: Jun 2015 From: Warwick Posts: 37 Thanks: 1  Bird flying at a height $h$ above ground at constant speed of 10m/s.
A bird is flying in a horizontal straight line $AB$, $h$ meters above level ground. It flies over point $O$ on the ground where there is a hunter with a shotgun. The hunter fires directly at the bird when it is at $A$, where $OA$ makes an angle of $arctan(\frac{4}{3})$ with the horizontal, as shown on the enclosed diagram. $O_x$ and $O_y$ are horizontal and vertical axes respectively, and the units of $x$ and $y$ are metres. The shot leaves the gun at a speed of $80 m/s$, and air resistance on the shot is to be neglected. The equation of the path of the shot is: $$y=\frac{4}{3}x 4.9(\frac{x}{48})^2$$ where $$x = 48t$$ and $$y= 64t  4.9t^2$$ The bird is flying at a constant speed of $10 m/s$ and the shot hits at $B(x_1 , h)$. Show that $h = \frac{19}{18}x_1$. Last edited by Statistics132; November 15th, 2015 at 08:02 AM. 
February 12th, 2016, 05:09 PM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
Before anyone can "Show that , we would have to know what is! And that is not mentioned anywhere.


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$h$, 10m or s, bird, constant, flying, ground, height, speed 
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