Rates Of Change And Particle Motion Worksheet With Answers

Rates Of Change And Particle Motion Worksheet With Answers - Ws 2.5 Page 3

Calculus Maximus

WS 2.5: Rates of Change & Part Mot I

( )

6. If

x t represents the position of a particle along the x-axis at any time, t, fill in the blanks in the

statements below with the best answer so that they become true facts (not opinions).

= .

(a) “Initially” means when _________________________________

= .

(b) “At the origin” means _________________________________

= .

(d) If the velocity of the particle is positive, then the particle is moving to the ______________.

(e) If the velocity of the particle is _________________, then the particle is moving to the left.

(f) To find average velocity over a time interval, divide the change in _____________________ by the

change in time.

(g) __________________________ velocity is the velocity at a single moment (instant) in time.

(h) If the acceleration of the particle is positive, then the ____________________ is increasing.

(i) If the acceleration of the particle is ____________________, then the velocity is decreasing.

(j) In order for a particle to change directions, the ____________________ must change signs.

(k) One way to determine

_________________

_____________________

__________________ over a time interval, when given the position function or graph, is to find the

sum of the absolute values of the differences in position between all resting points.

( )

+ − for 0

t ≤ ≤

7. If the position of a particle along a horizontal line is given by

x t

(a) Sketch the graph of the particle’s position on the given interval.

(b) What is the particle’s displacement on the given interval? Show the work that leads to your answer.

your answer.

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Rates Of Change And Particle Motion Worksheet With Answers - Ws 2.5 Page 3