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# P2Week3 - P2 Week 3 Motion in One Dimension Constant...

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1 P2 Week 3 Motion in One Dimension Constant acceleration Reading assignment: 2.4 and 2.5 Kinematic Equations The kinematic equations may be used to solve any problem involving one- dimensional motion with a constant acceleration You may need to use two of the equations to solve one problem The equations are useful when you can model a situation as a particle under constant acceleration

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2 Kinematic Equations, specific For constant acceleration, Can determine an object’s velocity at any time t when we know its initial velocity and its acceleration Does not give any information about displacement v x = v 0x + a x t Kinematic Equations, specific For constant acceleration, average velocity The average velocity can be expressed as the arithmetic mean of the initial and final velocities Only valid when acceleration is constant v x = v x + v 0x 2
3 Kinematic Equations, specific For constant acceleration, This gives you the position of the particle in terms of time and velocities Doesn’t give you the acceleration x = x 0 + v x t x = x 0 + 1 2 v x + v 0x ( ) t Kinematic Equations, specific For constant acceleration, Gives final displacement in terms of initial velocity and acceleration Doesn’t tell you about final velocity x = x 0 + v 0x t + 1 2 a x t 2

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4 Kinematic Equations, specific For constant a, Obtained by eliminating “t” in the two preceding special cases Gives final velocity in terms of acceleration and displacement Does not give any information about the time v x 2 = v 0x 2 + 2 a x x x o ( ) Summary for motion in one dimension with constant acceleration d t v x v 0 a x Equation v x = v 0x + a x t x - x 0 = 1 2 v + v 0x ( ) t x x o = v 0x t + 1 2 a x t 2 v x 2 = v 0x 2 + 2a x x x o ( )
5 Clicker question The average velocity of an object is zero in some time interval. If the initial velocity is not zero, which of the following statements is definitely false for motion in 1-dimension? A: acceleration is constant B: final velocity is zero C: total displacement is zero D: total distance traveled is zero E: none of the above are definitely false Clicker question If the speed of a particle is zero at some point in time and acceleration at that time is negative, is the object speeding up or slowing down?

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P2Week3 - P2 Week 3 Motion in One Dimension Constant...

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