2-D Kinematics and Projectile Motion

STUDENT ID : 5773918

1. In one of your experiments, you will roll a marble down a ramp to provide an initial horizontal velocity. Suppose you start the marble at rest (*vo*= 0 m/s) and it travels a distance of,*d*, down the ramp. Use 1-D kinematics to predict the velocity of the ball (*vf*) at the bottom of the ramp. Hint: the acceleration of the ball down the ramp is 9.81*sin() m/s2 where is the angle of the ramp. Record you answer in variables (*you will calculate the velocity with magnitudes when you perform the experiment*).

= + 2*a*d

vo = 0 m/s, a = m/s2,

vf =

vf = 4.3*

2. Use the kinematic equations to derive a general equation for the time it takes a ball dropped from rest at vertical height,*h*, to reach the ground.

h = u*t + g*t2

For ball dropped from rest, u = 0 m/s

t =

3. Use the result from Question 2 to write a general equation for the distance travelled by a projectile that is rolling off a table of height,*h*, with a horizontal speed,*v0x*.

distance, d = speed*time

The distance travel d = vox*

Table 1. Range and Velocity of Projectile at Ramp Distance 1

Ramp Incline (degrees) | 10 |

Ramp Distance (m): | 000000 |

Trial | Measured Distance (m) |

1 | 1.41 |

2 | 1.36 |

3 | 1.35 |

4 | 1.25 |

Average | 1.35 |

Table 2. Range and Velocity of Projectile at Ramp Distance 2

Ramp Distance (m): | 111 |

Trial | Measured Distance (m) |

1 | 1.61 |

2 | 1.55 |

3 | 1.50 |

4 | 1.58 |

Average | 1.58 |

Table 3. Range and Velocity of Projectile at Ramp Distance 3

Ramp Distance (m): 0.9 | 001.2 |

Trial | Measured Distance (m) |

1 | 1.52 |

2 | 1.58 |

3 | 1.53 |

4 | 1.61 |

Average | 1.56 |

1. Use your predictions of velocity and range from the Pre-Lab Questions and the data recorded from your experiment to complete Table 4.

Table 4. Velocity and Range Data for all Ramp Distances

Ramp Distance (m) | Calculated
velocity (m/s) |
Predicted Range (m) | Average Actual Range (m) | Percent Error |

2. How do your predictions compare to the observed data? Explain at least two reasons for the differences.

3. If you were to fire a paintball pellet horizontally and at the same time drop the same type of paintball pellet you fired from the paintball gun, which pellet would hit the ground first and why is this so?

if there was no resistance, the vertical velocities of both pellets would grow at the same rate and they both would hit the ground at the same time. The resistance grows with speeds, so the pellet would hit the ground first. The dropped pellet will hit the ground first (assuming the ground is perfectly horizontal and smooth, as the difference between the pellets would normally be very small). Resistance sometimes act as a barrier to the motion of falling objects.

4. Suppose you altered your existing ramp so that the marbles had twice their initial velocity right before leaving the ramp. How would this change the total distance traveled and the time that the marbles were in the air?

They would hve gained more speed allowing for further distance. However, for the falling part it will be the same because gravity will still put on the marble at the same rate. The speed will allow for further distance not further time.

5. Describe the acceleration of the marble after it leaves the ramp. Use kinematic equations to support your discussion.

When the marble officially leaves the ramp, the velocity vs the initial velocity will change as the replacement of the marble increases the further the marble gets from the rmap.

eScience Labs, 2018

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more