In this chapter we will only look at motion along a line (one dimension). - PowerPoint PPT Presentation

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In this chapter we will only look at motion along a line (one dimension).

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... you brake a Porsche from a speed of 100 km/h to speed 80 km/h during a displacement of 88.0 m at a constant acceleration. What is your acceleration? – PowerPoint PPT presentation

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Title: In this chapter we will only look at motion along a line (one dimension).


1
Chapter 2 Motion in One Dimension-continued
Reading assignment Chapter 3 Homework 3 (due
Friday, Sept. 2, 2005, 10 pm) (Chapter 3) Q4,
6, 11, 24, 39, 54
  • In this chapter we will only look at motion
    along a line (one dimension).
  • Motion can be forward (positive displacement)
    or backwards (negative displacement)

2

TUTOR HOMEWORK SESSIONS This years tutors
Jerry Kielbasa, Matt Rave, Christine Carlisle
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
4-6 Jerry 5-7 Christine 4-6 Jerry 5-7 Matt   3-5 Jerry  
6-8 Christine 6-8 Matt
  All sessions will be in room 103 (next to
lecture room).     Tutor sessions in semesters
past were very successful and received high marks
from students. All students are encouraged to
take advantage of this opportunity.  

3
  • Review from Friday
  • Displacement x, velocity v, acceleration a
  • a dv/dt d2x/dt2, and v dx/dt.
  • x is slope of v-graph, v is slope of a-graph.

4
One-dimensional motion with
acceleration
as function of time
as function of time
Velocity as function of ______________
____________ as function of time and velocity
Derivations Book pp. 44-46
5
Black board example 2.7 (see book)
  • Spotting a police car, you brake a Porsche from a
    speed of 100 km/h to speed 80 km/h during a
    displacement of 88.0 m at a constant
    acceleration.
  • What is your acceleration?
  • How long did it take to slow down?

6
Notice that acceleration and velocity often point
in different directions!!!
7
Black board example 2.8
  • A car traveling at constant speed of 45.0 m/sec
    passes a trooper hidden behind a billboard. One
    second after the speeding car passes the
    billboard, the trooper sets out from the
    billboard to catch it, accelerating at a constant
    rate of 3.00 m/s2.
  • How long does it take her to overtake the car?
  • How far has she traveled?

8
Freely falling objects
In the absence of air resistance, all objects
fall towards the earth with the same constant
acceleration (a -g -9.8 m/s2), due to gravity
9
General Problem-Solving Strategy
Conceptualize __________________________________ C
ategorize__________________________________ Analyz
e __________________________________ Finalize
__________________________________
10
Black board example 2.9
  • A stone thrown from the top of a building is
    given an initial velocity of 20.0 m/s straight
    upward. The building is 50 m high. Using tA 0
    as the time the stone leaves the throwers hand at
    position A, determine
  • The time at which the stone reaches its maximum
    height.
  • The maximum height.
  • The time at which the stone returns to the
    position from which it was thrown.
  • The velocity of the stone at this instant
  • The velocity and and position of the stone at t
    5.00 s.

11
  • Review
  • Displacement x, velocity v, acceleration a
  • a dv/dt d2x/dt2, and v dx/dt.
  • Know x, v, a graphs. x is slope of v-graph, v is
    slope of a- graph.
  • For constant acceleration problems (most
    problems, free fall)
  • Equations on page 36-7 (const. Acceleration
    free fall).
  • Free fall
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