$$t = 2$$\ s$$\ \text{to}\ t = 6$$\ s

Question 1

Given the position vs. time graph shown, what is the object's average speed between $$t = 0 s $$and $$t = 2 s$$?

Accepted Answer

$$4.0\ \mathrm{m/s}$$

Question 2

At $$t = 4.0 s$$, what is the object's instantaneous speed according to the graph?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 3

Between $$t = 10 s $$and $$t = 13 s$$, what is the object's average velocity?

Accepted Answer

$$-1.0\ \mathrm{m/s}$$

Question 4

If the object moves from $$x = 0 m at$$ $$t = 0 s to$$ $$x = 7 m at$$ $$t = 2 s$$, what is the displacement and average velocity over this interval?

Accepted Answer

Displacement: $$7\ \mathrm{m}$$, Average velocity: $$4.0\ \mathrm{m/s}$$

Question 5

What is the object's speed at $$t = 13 s$$, given that its position changes from $$x = 10 m at$$ $$t = 10 s to$$ $$x = 7 m at$$ $$t = 13 s$$?

Accepted Answer

$$1.0\ \mathrm{m/s}$$

Question 6

During which time interval does the object remain stationary according to the graph?

Accepted Answer

$$t = 2$$\ s$$\ 	ext{to}\ t = 6$$\ s

Question 7

If the object starts at $$x = 0 m $$and reaches $$x = 10 m at$$ $$t = 10 s$$, what is its average speed over the entire $$10 s$$?

Accepted Answer

$$1.0\ \mathrm{m/s}$$

Question 8

At which time does the object reach its maximum position, and what is that position?

Accepted Answer

$$t = 10$$\ s,\ x = 10$\ m

Question 9

If the object moves from $$x = 7 m at$$ $$t = 6 s to$$ $$x = 10 m at$$ $$t = 10 s$$, what is its average speed during this interval?

Accepted Answer

$$0.75\ \mathrm{m/s}$$

Question 10

What is the total distance traveled by the object from $$t = 0 s to$$ $$t = 16 s$$?

Accepted Answer

$$17\ \mathrm{m}$$

Question 11

If the object returns to $$x = 0 m at$$ $$t = 16 s$$, what is its average velocity over the entire $$16 s$$?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 12

Which of the following best describes the motion of the object between $$t = 2 s $$and $$t = 6 s$$?

Accepted Answer

The object is stationary.

Question 13

If the object moves from $$x = 7 m at$$ $$t = 6 s to$$ $$x = 10 m at$$ $$t = 10 s$$, what is the magnitude of its displacement?

Accepted Answer

$$3\ \mathrm{m}$$

Question 14

What is the object's speed at $$t = 2.0 s$$, $$t = 4.0 s$$, and $$t = 13 s$$, respectively?

Accepted Answer

$$4.0\ \mathrm{m/s},\ 0\ \mathrm{m/s},\ 1.0\ \mathrm{m/s}$$

Question 15

If the object moves backward from $$x = 10 m at$$ $$t = 10 s to$$ $$x = 7 m at$$ $$t = 13 s$$, what is the direction of its velocity?

Accepted Answer

Negative (toward decreasing $$x)$$

Analyzing Motion from Position-Time Graphs: Calculating Instantaneous Speeds

스터디 가이드 - 연습 문제