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Solution: Analyzing Motion Using GraphsGive the position
Chapter 3, Problem 33E(choose chapter or problem)
Problem 33E
Analyzing Motion Using Graphs
Give the position function s = ƒ(t) of an object moving along the s-axis as a function of time t. Graph ƒ together with the velocity function and the acceleration function Comment on the object’s behavior in relation to the signs and values of and a. Include in your commentary such topics as the following:
a. When is the object momentarily at rest?
b. When does it move to the left (down) or to the right (up)?
c. When does it change direction?
d. When does it speed up and slow down?
e. When is it moving fastest (highest speed)? Slowest?
f. When is it farthest from the axis origin?
(a heavy object fired straight up from Earth’s surface at 200/ft sec)
Questions & Answers
QUESTION:
Problem 33E
Analyzing Motion Using Graphs
Give the position function s = ƒ(t) of an object moving along the s-axis as a function of time t. Graph ƒ together with the velocity function and the acceleration function Comment on the object’s behavior in relation to the signs and values of and a. Include in your commentary such topics as the following:
a. When is the object momentarily at rest?
b. When does it move to the left (down) or to the right (up)?
c. When does it change direction?
d. When does it speed up and slow down?
e. When is it moving fastest (highest speed)? Slowest?
f. When is it farthest from the axis origin?
(a heavy object fired straight up from Earth’s surface at 200/ft sec)
ANSWER:
SOLUTION
Step 1 of 4
Here, we are asked to analyze the motion of an object using graph.
Given the position function, .