Phys2A_F07_Lecture_06

Phys2A_F07_Lecture_06 - Kinematics Mathematical description...

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W. P. Beyermann Fall 2007 1 Kinematics Mathematical description of motion without regard to cause. Start out with one-dimensional motion. How are position, velocity and acceleration related, both graphically and analytically?
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W. P. Beyermann Fall 2007 2 Sign Convention
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W. P. Beyermann Fall 2007 3 If v x and a x have the same sign, the object is speeding up. If v x and a x have the opposite sign, the object is slowing down. If a x = 0 , the object’s velocity is constant.
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W. P. Beyermann Fall 2007 4 Position versus Time Graph Student walking to school
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W. P. Beyermann Fall 2007 5 The graph below represents the motion of a car along a straight road. Describe the motion of the car.
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W. P. Beyermann Fall 2007 6 Uniform Motion Straight-line motion in which equal displacements occur during any successive equal-time intervals is called uniform motion. slope of position vs. time graph avg x rx vv tt ΔΔ =⇒ == G G
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W. P. Beyermann Fall 2007 7 Example: Lunch in Cleveland Bob leaves home in Chicago at 9:00 AM and travels east at a steady 60 mph. Susan, 400 miles to the east in Pittsburgh, leaves at the same time and travels west at a steady 40 mph. Where will they meet for lunch?
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W. P. Beyermann Fall 2007 8
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W. P. Beyermann Fall 2007 9 Instantaneous Velocity
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W. P. Beyermann Fall 2007 10 dt ds t s v t s = Δ Δ = Δ 0 lim Average & Instantaneous
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W. P. Beyermann Fall 2007 11 Instantaneous Acceleration dt dv t v a s s t s = Δ Δ = Δ 0 lim
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W. P. Beyermann
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Phys2A_F07_Lecture_06 - Kinematics Mathematical description...

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