1) Wile E. Coyote happens to be chasing after the Roadrunner, who is traveling in the +x-direction with a constant velocity of 8.72 m/s. Wile E. Coyote has a velocity of +3.28 m/s and a constant acceleration of +2.30 m/s? at the moment it is 10.0 m behind the Roadrunner. Take the initial position of the Roadrunner to be the origin (x = : 0). a) time. Hint: Your answer should look like xR = fR(t). Express the final position of the Roadrunner (with respect to the origin) as a function of Express the final position of Wile E. Coyote (with respect to the origin) as a function of time. Hint: Again, your answer should look like xc = fc(t). How much time elapses before Wile E. Coyote catches the Roadrunner? Hint: When you use the quadratic formula here, you should get two times. Consider which one, if both, of these times makes sense in the context of this problem.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 70P
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Quadratic Equation: x =
-6±yb²–4ac
2a
AT = i; – ão
Vave.,
drot.
At
dave.,e
Save.
||
At
At
Vx = V0x + agt
Ax
Vont + at?
= vox + 2a,Ax
Ax
(vor + Va)t
'0x
1) Wile E. Coyote happens to be chasing after the Roadrunner, who is traveling in the +x-direction with
a constant velocity of 8.72 m/s. Wile E. Coyote has a velocity of +3.28 m/s and a constant acceleration of
+2.30 m/s? at the moment it is 10.0 m behind the Roadrunner. Take the initial position of the Roadrunner
to be the origin (x = 0).
a)
time. Hint: Your answer should look like xR = fR(t).
Express the final position of the Roadrunner (with respect to the origin) as a function of
b)
time. Hint: Again, your answer should look like xc =
Express the final position of Wile E. Coyote (with respect to the origin) as a function of
fc(t).
c)
use the quadratic formula here, you should get two times. Consider which one, if both, of these times makes
sense in the context of this problem.
How much time elapses before Wile E. Coyote catches the Roadrunner? Hint: When you
d)
What is Wile E. Coyote's speed when it catches the Roadrunner?
Transcribed Image Text:Quadratic Equation: x = -6±yb²–4ac 2a AT = i; – ão Vave., drot. At dave.,e Save. || At At Vx = V0x + agt Ax Vont + at? = vox + 2a,Ax Ax (vor + Va)t '0x 1) Wile E. Coyote happens to be chasing after the Roadrunner, who is traveling in the +x-direction with a constant velocity of 8.72 m/s. Wile E. Coyote has a velocity of +3.28 m/s and a constant acceleration of +2.30 m/s? at the moment it is 10.0 m behind the Roadrunner. Take the initial position of the Roadrunner to be the origin (x = 0). a) time. Hint: Your answer should look like xR = fR(t). Express the final position of the Roadrunner (with respect to the origin) as a function of b) time. Hint: Again, your answer should look like xc = Express the final position of Wile E. Coyote (with respect to the origin) as a function of fc(t). c) use the quadratic formula here, you should get two times. Consider which one, if both, of these times makes sense in the context of this problem. How much time elapses before Wile E. Coyote catches the Roadrunner? Hint: When you d) What is Wile E. Coyote's speed when it catches the Roadrunner?
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