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.