Postion, Velocity, and Acceleration Lab PDF

Preview

Summary

Download Postion, Velocity, and Acceleration Lab PDF

Description

Position, Velocity and Acceleration Analysis of Position, Velocity and Acceleration Lab Name: Riya Babvani Course/Section: 1951-008 Instructor: Alejandro Morales Betancourt

Table 1 (10 points) t(s)

x(m)

a(m/s 2)

v(m/s)

0 0.00 0.00 0.75 1 0.44 0.81 0.75 2 1.69 1.59 0.75 3 3.85 2.40 0.75 4 6.25 3.06 0.75 5 9.85 3.84 0.75 6 13.50 4.50 0.75 7 19.03 5.34 0.75 8 24.77 6.09 0.75 9 31.25 6.85 0.75 10 38.44 7.59 0.75 1. From the data in Table 1 and using Excel or some other graphing software make the 3 following graphs: a. Position vs. time

Position (m)

Position vs. Time 45 40 35 30 25 20 15 10 5 0 0 -5 0 -10

38.41 31.91 25.47 19.66 14.05 3.38 0.51 1.56 2

6.37

4

9.53

6

8

10

12

Time(s)

b. Velocity vs. time

1

Velocity vs. time 9 7.59

8

6.84

Velocity(m/s)

7

6.18 5.43

6

4.59

5

3.78

4

3.09 2.25

3

1.53

2

0.87

1 0 0 -1 0

2

4

6

8

10

12

Time(s)

c. Acceleration vs. time

Acceleration vs. time 0.80.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75

Acceleration (m/s^2)

0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0

2

4

6

8

10

12

Time(s)

For the Position vs. time graph have software display BOTH the linear fit, and the quadradic fit on the graph. For the Velocity vs. time graph have the software display the linear fit on the graph. For the acceleration vs. time graph have the software display the linear fit on the graph. Make sure to turn these graphs in with the lab worksheet. (20 points)

2

Table 2 (From the ‘fits’ displayed on your graphs fill in Table 2) (10 points) Position vs Time Value Linear Fit 3.840045 m -5.97096 B Y= 3.84005x-5.9706 y = mx + b Quadratic Fit -0.04 A 0.025 B 0.3735 C 2 Y = -𝟎. 𝟎𝟒𝒙𝟐 + 𝟎. 𝟎𝟐𝟓𝒙 + y = Ax + Bx + C 𝟎. 𝟑𝟕𝟑𝟓 (0, 0)

(x1, y1) first point (x2, y2) last point Slope Velocity vs. Time M B y = mx + b (x1, y1) first point (x2, y2) last point vavg vavg time

(10.1,38.41) 2.67

Value 0.752698 -0.01379 Y= 0.752698x-0.01379

Acceleration vs. Time M B y = mx + b

(0, 0) (10.1,7.59) 3.831818 19.577

Value 0 0.75 Y= 0.75

1. What are the appropriate units for the slope of the: (a) Position vs Time graph? (2 points) m per second (b) Velocity vs Time graph? (2 points) m per square second (c) Acceleration vs Time graph? (2 points) 3

m per cubic second 2. For Position vs Time data: (a) Did your quadratic fit of this graph provide initial position? If yes, what is its value? (4 points) Yes, my quadratic fit of this graph provides initial position which was 0. (b) Did your quadratic fit of this graph provide initial velocity? If yes, what is its value? (4 points) Yes, my quadratic fit of this graph provides initial velocity which was 0. (c) Did your quadratic fit of this graph provide acceleration? If yes, what is its value? (4 points) No, Quadratic fit of this graph doesn’t provide acceleration. (d) What specific physical quantity does the slope of the two end points from the Position vs. Time graph represent? (4 points) The slope of the two end points from the Position vs. Time graph represents velocity. 3. For Velocity vs Time data: (a) Did your linear fit of this graph provide initial position? If yes, what is its value? (4 points) Yes, my quadratic fit of this graph provides initial position which was 0. (b) Did your linear fit of this graph provide initial velocity? If yes, what is its value? (4 points) Yes, my quadratic fit of this graph provides initial velocity which was 0. (c) Did your linear fit of this graph provide acceleration? If yes, what is its value? (4 points) Yes, my linear fit of this graph did provide acceleration which was 38.3295.

4. For Acceleration vs Time data: (a) Did your linear fit of this graph provide initial position? If yes, what is its value? (4 points) No, my linear fit of this graph didn’t provide initial position. (b) Did your linear fit of this graph provide initial velocity? If yes, what is its value? (4 points) Yes, my quadratic fit of this graph provides initial velocity which was 0. 4

(c) Did your linear fit of this graph provide acceleration? If yes, what is its value? (4 points) No, Quadratic fit of this graph doesn’t provide acceleration. (d) What are the SI units of the Jerk? (4 points) In physics, Jerk is how acceleration changes with time. It’s SI units are meters per second cubed. 7. What is the general shape of each graph and why does each have that shape? (10 points) The general shape of each graph is Linear because the slope is increasing by every second.

5...