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? оооо (a) (b) (c) (d) (a) (b) (c) (d) U U U See can a=0 a a=0 a=0 a Hit brakes a Stop o

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Learning Goal:
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 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 + as ▲t,
Sf = S; + Vis At + 1/a, (▲t)², and
v² = v₁² + 2a, As.
• Use x or y, as appropriate to the problem, rather than the generic s.
Replace i and f 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.
●
Model
Start by making simplifying assumptions appropriate for the situation. In this problem, the object of interest, the car, should be modeled as a particle.
Transcribed Image Text:Learning Goal: 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 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 + as ▲t, Sf = S; + Vis At + 1/a, (▲t)², and v² = v₁² + 2a, As. • Use x or y, as appropriate to the problem, rather than the generic s. Replace i and f 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. ● Model Start by making simplifying assumptions appropriate for the situation. In this problem, the object of interest, the car, should be modeled as a particle.
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?
O
O
ê
O
(d)
ū
15
1p
ū
See can
a=0
a=0
a=0
Hit brakes
Stop
Transcribed Image Text: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? O O ê O (d) ū 15 1p ū See can a=0 a=0 a=0 Hit brakes Stop
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