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Describing an objects position and motion using calculus concepts Application of some higher order derivatives. Analyzing the straight line motion of an.

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Presentation on theme: "Describing an objects position and motion using calculus concepts Application of some higher order derivatives. Analyzing the straight line motion of an."— Presentation transcript:

1 Describing an objects position and motion using calculus concepts Application of some higher order derivatives. Analyzing the straight line motion of an object in front of a motion detector.

2 differentiate Differentiate twice Undo the derivative (integration, anti-derivative). Data point needed to determine the constant. Undo the derivative (integration, anti-derivative). Data point needed to determine the constant. “s(t)”“v(t)”“a(t)” Position at time “t” velocity at time “t”acceleration at time “t” changing position over time.Changing velocity over time.

3 Position relative to the motion detector Analyzing the motion of 5 objects in front of a motion detector Time, “t” seconds Object “A” Object “B” Object “C” Object “D” Object “E” Position is unchanged, Velocity is zero s(t)= 5 m Straight line, constant velocity then steeper so moving at a faster constant speed than objects A, B and D Constant slope, Constant velocity, no acceleration Object “E” has positive changing tangent slopes, speed is changing Constant velocity No acceleration

4 If the acceleration is positive, does that mean the object is speeding up? Not always.


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