My Math Forum Bird flying at a height $h$ above ground at constant speed of 10m/s.
 User Name Remember Me? Password

 Applied Math Applied Math Forum

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 $h = \frac{19}{18}x_1$.
Attached Files
 projectile.zip (3.0 KB, 15 views)

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 $h= \frac{19}{18}x_1$, we would have to know what $x_1$ is! And that is not mentioned anywhere.

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

Search tags for this page

### a bird is flying in a horizontal straight line ab, h metres above level ground

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post rumpsteken Physics 10 November 29th, 2012 01:31 AM rnck Physics 3 August 12th, 2011 08:47 AM maths_illiterate Algebra 1 June 7th, 2011 09:17 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.