101.F07.lecture3.multi

101.F07.lecture3.multi - PHY101 How the"world works I...

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PHY101: How the “world” works I Tortoise and the hare: One-dimensional motion http://www.cartoonstock.com/lowres/pha0147l.jpg Describing an object What is the position, r , of the center of mass of an object? x y Origin r Displacement Vector The displacement vector is the change of the position vector, or d = r f - r i , where r f is the final position and r i is the initial position. The magnitude of the displacement vector is not necessarily equal to the distance travelled.
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Velocity The average velocity, v av , is defined as v av = r f - r i t f - t i , where t f is the final time and t i is the initial time. The instantaneous velocity, v , is defined as v = lim Δ t 0 Δ r Δ t , where Δ r is the displacement during a very short time interval Δ t . Acceleration The average acceleration, a av , is defined as a av = v f - v i t f - t f . The instantaneous acceleration, a , is defined as a = lim Δ t 0 Δ v Δ t , where Δ v is the change in velocity during a very short time interval Δ t . Acceleration The average acceleration, a av , is defined as a av = v f - v i t f - t i .
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