Rates Of Change And Particle Motion Worksheet With Answers

Rates Of Change And Particle Motion Worksheet With Answers - Ws 2.5 Page 6

Calculus Maximus

WS 2.5: Rates of Change & Part Mot I

( )

t ≥ , its position is given by

−

+ .

10. A particle moves along the x-axis so that at time

x t

t = , is the particle moving to the right or to the left? Justify.

(a) At

(b) At what time(s) does the particle change directions. Justify.

t =

1/ 2

, is the velocity of the particle increasing or decreasing? Explain your answer.

t =

(d) At

1/ 2

, is the speed of the particle increasing or decreasing? Explain your answer.

(e) Find all values of t for which the particle is moving to the left.

t = ? Explain, with units, the meaning of your answer in

(f) What is the particle’s acceleration at

terms of the particle’s velocity.

11. Fill in the blanks so that each statement below is true.

(a) If velocity is negative and acceleration is positive, then speed is _____________________.

(b) If velocity is positive and speed is decreasing, then acceleration is _____________________.

(d) If speed is increasing and acceleration is negative, then velocity is _______________________.

(e) If velocity is negative and increasing, then speed is ____________________________.

(f) If the particle is moving to the left and speed is decreasing, then acceleration is

________________________.

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Rates Of Change And Particle Motion Worksheet With Answers - Ws 2.5 Page 6