Graphical Analysis – (Overview)



Graphical Analysis – (Overview)

1. Identify what the following will give you.

a. The slope of a position-time graph ____________________

b. The slope of a velocity-time graph ____________________

c. The area under an acceleration-time graph ______________

d. The area under a velocity-time graph___________________

2. A motorboat travels straight down a river at 40 m/s.

a. Plot the position vs. time graph for 10 seconds.

b. Plot the velocity vs. time graph for 10 seconds.

c. Find the displacement between the 5th and 10th second.

X(m) v(m/s)

t(s) t(s)

3. Using the following position vs. time graph, answer the questions that follow.

X(m) 30

15 25 35 time (s)

a. How far does the object travel between 5 and 10 seconds?

b. How far does the object travel between 15 and 20 seconds?

c. During what time interval is the velocity 0?

d. What is the velocity between 10 and 15 seconds?

e. Is the object’s acceleration greater between 0 and 15 seconds or 25 and 35 seconds?

4.

20

v(m/s)

15

10

5

1 2 3 4 5 6 7 8 9 time(s)

a. Where is the magnitude of the acceleration the greatest?

b. During what time interval is the acceleration zero?

c. What is the displacement between 5 and 6 seconds?

d. What is the acceleration between 6 and 8 seconds?

e. What is the displacement between 3 and 4 seconds?

5.

60

45

x(m)

30

15

5 10 12 15 20 25 30 time (s)

a. What is the velocity between 20 and 25 seconds?

b. Is the velocity greater between 0 and 5 or 10 and 12 seconds?

c. What is the velocity between 15 and 20 seconds?

d. How would you determine the instantaneous velocity at 9 seconds?

e. During what time interval is the object accelerating?

f. What is the displacement of the object between 15 and 20 seconds?

6. Draw the position vs. time graph and the acceleration vs. time graph from the given velocity vs. time graph below. Please use numbers on the axes.

80

v(m/s)

60

40

20

10 20 30 40 50 60 70 time(s)

X(m)

time (s)

a(m/s2)

time (s)

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