Learning Goal: To practice Problem-Solving Strategy 2.1 for constant acceleration problems. A car is traveling at a constant velocity of magnitude v0v0 when the driver notices a garbage can on the road in front of him. At that moment, the distance between the garbage can and the front of the car is ddd. A time treacttreact after noticing the garbage can, the driver applies the brakes and slows down at a constant rate before coming to a halt just before the garbage can. What is the magnitude of the car's acceleration after the brakes are applied?   PROBLEM-SOLVING STRATEGY 2.1 Kinematics with constant acceleration MODEL:  Model the object as having constant acceleration. VISUALIZE:  Use different representations of the information in the problem. Draw a pictorial representation. This helps you assess the information you are given and starts the process of translating the problem into symbols. Use a graphical representation if it is appropriate for the problem. Go back and forth between these two representations as needed. SOLVE:  The mathematical representation is based on the three kinematic equations vfs=vis+asΔtvfs=vis+asΔt, sf=si+visΔt+12as(Δt)2sf=si+visΔt+12as(Δt)2, and v2fs=v2is+2asΔsvfs2=vis2+2asΔs. Use xxx or yyy, as appropriate to the problem, rather than the generic sss. Replace ii and ff with numerical subscripts defined in the pictorial representation.  REVIEW:  Check that your result has the correct units and significant figures, is reasonable, and answers the question.   Part A Below is a sketch of the situation described in this problem, along with four different motion diagrams. Which of these diagrams is the correct pictorial representation of the problem?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Learning Goal:

To practice Problem-Solving Strategy 2.1 for constant acceleration problems.
A car is traveling at a constant velocity of magnitude v0v0 when the driver notices a garbage can on the road in front of him. At that moment, the distance between the garbage can and the front of the car is ddd. A time treacttreact after noticing the garbage can, the driver applies the brakes and slows down at a constant rate before coming to a halt just before the garbage can. What is the magnitude of the car's acceleration after the brakes are applied?
 

PROBLEM-SOLVING STRATEGY 2.1 Kinematics with constant acceleration

MODEL:  Model the object as having constant acceleration.

VISUALIZE:  Use different representations of the information in the problem.

  • Draw a pictorial representation. This helps you assess the information you are given and starts the process of translating the problem into symbols.
  • Use a graphical representation if it is appropriate for the problem.
  • Go back and forth between these two representations as needed.

SOLVE:  The mathematical representation is based on the three kinematic equations

vfs=vis+asΔtvfs=vis+asΔt,

sf=si+visΔt+12as(Δt)2sf=si+visΔt+12as(Δt)2, and

v2fs=v2is+2asΔsvfs2=vis2+2asΔs.

  • Use xxx or yyy, as appropriate to the problem, rather than the generic sss.
  • Replace ii and ff with numerical subscripts defined in the pictorial representation.

 REVIEW:  Check that your result has the correct units and significant figures, is reasonable, and answers the question.

 

Part A

Below is a sketch of the situation described in this problem, along with four different motion diagrams. Which of these diagrams is the correct pictorial representation of the problem?
I Review
Below is a sketch of the situation described in this problem, along with four different motion
diagrams. Which of these diagrams is the correct pictorial representation of the problem?
Learning Goal:
To practice Problem-Solving Strategy 2.1 for
constant acceleration problems.
(a)
a = 0
A car is traveling at a constant velocity of
magnitude vo when the driver notices a
garbage can on the road in front of him. At that
moment, the distance between the garbage can
and the front of the car is d. A time treact after
noticing the garbage can, the driver applies the
brakes and slows down at a constant rate
(b)
(c)
a = 0
before coming to a halt just before the garbage
can. What is the magnitude of the car's
acceleration after the brakes are applied?
(d)
a = 0
Hit brakes
See can
Stop
(b)
(c)
(d)
Submit
Previous Answers Request Answer
X Incorrect; Try Again; 5 attempts remaining
This diagram shows the velocity increasing as the car approaches the garbage can. Is this
what you would expect when you apply the brakes?
Transcribed Image Text:I Review Below is a sketch of the situation described in this problem, along with four different motion diagrams. Which of these diagrams is the correct pictorial representation of the problem? Learning Goal: To practice Problem-Solving Strategy 2.1 for constant acceleration problems. (a) a = 0 A car is traveling at a constant velocity of magnitude vo when the driver notices a garbage can on the road in front of him. At that moment, the distance between the garbage can and the front of the car is d. A time treact after noticing the garbage can, the driver applies the brakes and slows down at a constant rate (b) (c) a = 0 before coming to a halt just before the garbage can. What is the magnitude of the car's acceleration after the brakes are applied? (d) a = 0 Hit brakes See can Stop (b) (c) (d) Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining This diagram shows the velocity increasing as the car approaches the garbage can. Is this what you would expect when you apply the brakes?
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