Worksheet 2.5 - Rates Of Change And Particle Motion I Worksheet (Page 5 of 8) in pdf

Worksheet 2.5 - Rates Of Change And Particle Motion I Worksheet Page 5

Calculus Maximus

WS 2.5: Rates of Change & Part Mot I

9. The graph above represents the velocity v, in feet per second, of a particle moving along the x-axis over

t ≤ ≤ seconds.

the time interval for 0

t =

(a) At

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

(b) At what time(s) is the particle at rest? Justify.

t < <

(d) On what open intervals 0

is the particle moving left? Justify.

t =

(e) What is the acceleration of the particle at

seconds? Show the work that leads to your answer.

t < <

(f) On what open intervals 0

is the acceleration of the particle positive? Justify.

[ ]

t ∈

(g) What is the average acceleration of the particle over the interval

3,6

seconds? Show the

computations that lead to your answer, and indicate units of measure.

t < <

(h) On what open intervals 0

is the speed of the particle decreasing? Justify.

(i) Without knowing the initial position of the particle, is it still possible to determine the time at which

t ≤ ≤ ? If not, explain. If so, find this value of t, and explain.

the particle is farthest right for 0

Page 5 of 8

Worksheet 2.5 - Rates Of Change And Particle Motion I Worksheet Page 5