1a) Plot the position in the x-direction as a function of time for both birds on the same co-ordinate system (the plots do not have to be exact). b) Write down the equations of motion in x and y directions for bird 1 and 2. c)Using ?⃗ଵ(?) and ?⃗ଶ(?) to represent the position vector of birds 1 and 2, respectively, write down the components of the position vector for both birds in parenthesis format. d) Write an equation using the tangent of the position vectors that describes when the hunter should release the arrow. e) Solve this equation for the time at which the hunter should release his arrow
1a) Plot the position in the x-direction as a function of time for both birds on the same co-ordinate system (the plots do not have to be exact). b) Write down the equations of motion in x and y directions for bird 1 and 2. c)Using ?⃗ଵ(?) and ?⃗ଶ(?) to represent the position vector of birds 1 and 2, respectively, write down the components of the position vector for both birds in parenthesis format. d) Write an equation using the tangent of the position vectors that describes when the hunter should release the arrow. e) Solve this equation for the time at which the hunter should release his arrow
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
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1a) Plot the position in the x-direction as a function of time for both birds on the same co-ordinate
system (the plots do not have to be exact).
b) Write down the equations of motion in x and y directions for bird 1 and 2.
c)Using ?⃗ଵ(?) and ?⃗ଶ(?) to represent the position vector of birds 1 and 2, respectively, write down
the components of the position vector for both birds in parenthesis format.
d) Write an equation using the tangent of the position
should release the arrow.
e) Solve this equation for the time at which the hunter should release his arrow
PLEASE explain, especially 1c, d, and e

Transcribed Image Text:Problem 1
A blue bird and a red bird are initially sitting atop two different trees while a hunter (represented by the
arrow) is watching them from below. The hunter only has 1 arrow and needs to shoot both birds at the
same time. If at time t = 0 both birds take off from the treetops: The first bird has an initial velocity in
the x-direction of voix and a constant acceleration in the x-direction of a₁x and the second bird has an
initial velocity in the x-direction of Vo2x and no acceleration in the x-direction. Also, both birds have
neither acceleration or velocity in the y-direction.
Assuming that the speed of the arrow is such that when it is fired it moves in a straight line (i.e. you can
neglect gravity) and it will strike both birds simultaneously:
Volx
aix
h₂
Х01 X02
Vo2x
0
x = 0
x
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