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Rectilinear Motion

Rectilinear Motion

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Tutorial

Velocity and Acceleration

the equations of position, velocity and acceleration

First Problem Set

For each position function find

(a) the velocity function

(b) the acceleration function

(c)  The position, velocity and acceleration at t=1

1.  s open parentheses t close parentheses equals t to the power of 4 minus 4 t squared plus 4 comma space space t greater or equal than 0

2.  s open parentheses t close parentheses equals 9 minus 9 cos open parentheses straight pi over 3 t close parentheses comma space 0 less or equal than t less or equal than 5

3.  s open parentheses t close parentheses equals fraction numerator t over denominator t squared plus 4 end fraction comma space t greater or equal than 0

Source: Calculus Early Transcendentals by Howard Anton, Irl Bivens, Stephen Davis

Speeding Up vs. Slowing Down

Averting a common misconception!

Problem set #2

For the 3 problems you did earlier, also answer the following questions for each one:

(d)  At what times is the particle stopped?

(e)  When is the particle speeding up?  When is it slowing down?

(f)  What is the speed of the particle when t=1?

Source: Calculus Early Transcendentals by Howard Anton, Irl Bivens, Stephen Davis