Transcript of Acceleration 1D motion with Constant Acceleration Free Fall Lecture 04 (Chap. 2, Sec. 6-10 ) General...
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- Acceleration 1D motion with Constant Acceleration Free Fall
Lecture 04 (Chap. 2, Sec. 6-10 ) General Physics (PHYS101) Sections
30 and 33 are canceled and became section 27
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- Lightning Review Displacement - change of position Average
velocity - displacement over time interval Instantaneous velocity -
the same but for very small time interval Last lecture:
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- Average Acceleration Average acceleration is the rate of change
of the velocity Changing velocity (non-uniform) means an
acceleration is present Average acceleration is a vector quantity
(i.e described by both magnitude and direction) SI unit: m/s 2
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- Instantaneous Acceleration Instantaneous acceleration is the
limiting case of the average acceleration as the time interval goes
to zero.
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- Graphical Interpretation of Acceleration Average acceleration
is the slope of the line connecting the initial and final
velocities on the velocity-time graph Instantaneous acceleration is
the slope of the tangent to the curve of the velocity-time graph
for the given value of time
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- 1D motion: uniform velocity Uniform velocity (shown by red
arrows maintaining the same size) Acceleration equals zero
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- 1D motion: constant (positive) acceleration Velocity and
acceleration are in the same direction Acceleration is uniform
(blue arrows maintain the same length) Velocity is increasing in
time (red arrows are getting longer)
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- 1D motion: constant (negative) acceleration Velocity and
acceleration are in opposite directions Acceleration is uniform
(blue arrows maintain the same length) Velocity is decreasing (red
arrows are getting longer)
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- 1D motion: constant acceleration Our job: to find the equation
for the position and velocity of the object to make
predictions!
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- 10 1D motion with constant acceleration Recall that We know
that We find v t v0v0 Since x t x0x0
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- 11 1D motion with constant acceleration
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- 12 Summary of kinematic equations: 1D motion acceleration is
constant displacement as a function of velocity and time
displacement as a function of time velocity as a function of time
velocity as a function of displacement average velocity
Displacement as a function of velocity
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- 13 Free fall - 1D motion with constant acceleration
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- 14 Free fall - 1D motion with constant acceleration 0 x 1 2 3 0
y 1 2 3 All objects moving under the influence of only gravity are
said to be in free fall All objects falling near the earths surface
fall with a constant acceleration This acceleration is called
gravitations acceleration, indicated by g and always points
perpendicular to the earths surface y
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- 15 acceleration displacement vs velocity and time displacement
vs time velocity vs time velocity vs displacement average velocity
displacement vs velocity Free fall - 1D motion with constant
acceleration
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- 16 Case 1: zero initial velocity y
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- 17 Case 2: NONzero initial velocity y y Case 1 Case 2
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- 18 Case 3: object thrown upward
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- 19 Case 4: object thrown upward
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- Free fall Mass does not matter, if the air resistance is
neglected
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- 21 Positive acceleration
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- 22 Negative acceleration
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- 23 1D motion with constant acceleration Example 1: A car is
traveling with a constant speed v 0. At some time, the driver puts
on the brakes, which slows the car down at a rate of a. Find: how
much farther does the car travel for time t f, before it stops
completely. low long does it travel if the stopping distance is x
f. Given: v 0 =v 0 a=-a x 0 =0 t 0 =0 v=0 Find: 1) x f =?, knowing
t f. 2) t f =?, knowing x f.