Experiment two_ Projectile motion
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102
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Physics
Date
Apr 3, 2024
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5
Uploaded by DrBookPony31
Alexis Ortiz
A20532815
Experiment two: Projectile motion
Part 1:
(a) What are the two initial velocities for the first two firing settings (the first two “clicks”)?
Make a table consisting of the initial velocities, its components vx and vy, the launch angles,
the time of flight, and the horizontal range.
(Setting 1)
Trials
Launch
angle ( º)
Time of flight
(m/s)
Range
(m)
Initial Velocity
(m/s)
V
ix
(m/s)
V
iy
(m/s)
Trial 1
20
0.400
1.027
3.957
3.718
1.353
Trial 2
20
0.600
1.018
3.940
3.702
1.348
Trial 3
20
0.550
1.019
3.942
3.704
1.348
Average
20
0.517
1.021
3.946
3.708
1.350
The average initial velocity of the ball on setting one is 3.946 meters per second.
(Setting 2)
Trials
Launch
angle ( º)
Time of flight
(m/s)
Range
(m)
Initial Velocity
(m/s)
V
ix
(m/s)
V
iy
(m/s)
Trial 1
20
0.3
1.186
4.252
3.996
1.454
Trial 2
20
0.3
1.174
4.231
3.976
1.447
Trial 3
20
0.32
1.179
4.240
3.984
1.450
Average
20
0.31
1.180
4.241
3.985
1.450
The average initial velocity of the ball on setting two is 4.241 meters per second.
(b) Consider the angle that gave you the longest range. Using the angle and initial velocity
calculate the maximum height (ymax) reached at this angle? What is the overall maximum
height reached in your experimental data? Which angle gave you the maximum height?
(*These results came from Part 2 of the lab due to time constraints resulting in a lack of full data in part 1)
(c) Make a graph of launch angle vs. horizontal range for the second experiment. Label the
axes appropriately with correct units.
(on Setting 1)
Alexis Ortiz
A20532815
The overall maximum height reached from this data was 0.201 meters high. An angle of
65
gave the maximum height. An angle of 55
∘
gave the maximum range.
° (d) For the third experiment, how do your measured values of the gravitational
acceleration compare to the accepted value of g = 9.8 m/s2 ? What are possible sources of
error for this experiment?
(* Due to equipment malfunction, Part 3 of this experiment had no data taken.)
To find the experimental value of gravitational acceleration, a free fall experiment would
be conducted. Acceleration would be calculated using equation 1, with the initial height being
the height of the table (
, the time measurement being the time to hit the ground (t), and the
𝑦
𝑖
) final height being 0 meters (
). Had the experiment been conducted, the ball would be released
𝑦
? from rest over a photogate, which will start the measurement of total time. Then, the ball would
pass the time of flight sensor on the ground. This time would be used in equation 2 to determine
gravity. Possible sources of error that could arise from this experiment include air resistance
dragging on the ball, resulting in a higher acceleration than is accurate, or the ball falling at an
angle due to it being let go improperly.
Alexis Ortiz
A20532815
(e) If the steel ball is shot vertically upward, how long would it take for it to hit the floor
below? Calculate for both initial velocities.
Assuming the ball starts at 0 meters and ends its trajectory at 0 meters, the time it would
take for the ball to hit the floor would be 0.272 seconds for setting one and 0.296 seconds for
setting two, based on the equation
(equation 1)
𝑦
?
= 𝑦
𝑖
+ 𝑣
0
𝑡 +
1
2
𝑎𝑡
2
2. Ideally, what kind of mathematical curve is the projectile motion trajectory? Describe
two examples of projectile motion which you have observed or experienced outside of this
physics lab that follow this mathematical curve.
The mathematical curve of projectile motion trajectory is a parabolic curve. Two
examples of parabolic curves are the path of fireworks and the path of a punted football. They
both reach a maximum height, then fall to their original position height.
3. Are there two different launch angles that would give you the same range? Are there two
different launch angles that would give you the same height? Explain.
Yes, two different launch angles can result in the same range if they add up to 90 °
(complementary angles), as range is calculated with two times the sine of
∅
. This is due to the
smaller angle going faster, thus having less time in the air, and the larger angle going higher, thus
having less distance covered. Also, two different launch angles result in the maximum height if
they add up to 180°(supplementary angles), as height is calculated with the sine of
∅
. This can be
shown with their hypotenuses being the same.
4. If the steel ball is shot horizontally off the table, how much time would it take the ball to
hit the ground for each of the velocity settings of the launcher? Explain your answer using
the equations of motion and your experimental data. How does this relate to the ball being
dropped vertically from the table top to the floor below?
(equation 2)
𝑡 =
2𝑦
𝑖
?
The time to reach the ground could be calculated by taking the square root of two times
the initial height divided by the gravitational acceleration. The time to reach the ground cannot
be calculated with the partia data from this experiment, due to a missing measurement of the
height of the table.
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Lunching
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(*)
Range
Sin(20) Trial 1 sx Trial 2 sx
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30
0.8660
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10
40
20
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Stn20
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- In an inertial frame of reference S, an observer finds two events occurring at the same time at coordinates x, = 0 and x, = d. A different inertial frame S' moves with velocity v with respect to S along the positive x-axis. An observer in S'also notices these twoarrow_forwardA plane flying at 78.2 m/s [W32°S] takes 42 seconds to change its velocity to 78.2 m/s [S32°E]. a) Solve for the change in velocity of the plane algebraically, resolving vectors into their x- and y-components. b) What was the average acceleration of the plane over this time interval? c) Explain why the speed of the plane didn't change and yet the plane underwent acceleration. Please label sketches with events as well as GRASS and explanations to show your work. Please label triangle sides. Remember to have the magnitude rounded to a reasonable number of sig figs, the unit and the direction (if needed) in your answers.arrow_forwardGeneral instructions: In case of Multiple choice, Write the letter of your answer. In case of True or False, write T if the statement is true and write F if the statement is False. Write all your answer in the space provided after the number. In case of Problem Solving, write all your computations and always encircle your final answer. Kinematics 2: Motion in 2-Dimenstions and 3-Dimensions 1. A passenger in a bus moving at constant velocity tosses a coin. An observer standing at the side of the road sees the coin being tossed. True or False? The passenger sees the coin follows a parabolic path. 2, A passenger in a bus moving at constant velocity tosses a coin. An observer standing at the side of the road sees the coin being tossed. True or False? The outside observer sees the coin foilows a parabolic path. 3. A passenger in a bus moving at constant velocity tosses a coin. An observer standing at the side of the road sees the coin being tossed. True or False? Neither the passenger, nor…arrow_forward
- Let's Appraise A trekker walks 5.0 km North [N] and then 8.0 km South [S] for 3.0 hours. Determine the trekker's: 1. Average velocity a. b. Average speed A car's velocity is at 100 km/h going North [N}for 1.0 hour. The car continues to move for another 2.0 hours at 82 km/h South [S]. Determine the car's: 2. Total displacement a. b. Moving average velocity C. Total distance covered d. Moving average speed f dictance and time.arrow_forwardPart A Drop Tower NASA operates a 2.2-second drop tower at the Glenn Research Center in Cleveland, Ohio. At this facility, experimental packages are dropped from the top of the tower, on the 8th floor of the building. During their 2.2 seconds of free fall, experiments experience a microgravity environment similar to that of a spacecraft in orbit. What is the drop distance of a 2.2-s tower? Express your answer using two significant figures. ΑΣΦ ? Submit Request Answer • Part B How fast are the experiments traveling when they hit the air bags at the bottom of the tower? Express your answer using two significant figures. ? m/s Submit Request Answer • Part C If the experimental package comes to rest over a distance of 0.74 m upon hitting the air bags, what is the average stopping acceleration? Express your answer using two significant figures. aay = m/s Submit Request Answerarrow_forwardPart C What is the line integral B-dl for the path c? The integral involves going around the path in the counterclockwise direction. Express your answer using two significant figures. VO AE T.m Submit Request Answer Part D What is the line integral B-dl for the path d? The integral involves going around the path in the counterclockwise direction Express your answer using two significant figures. T.m மொர். Request Answer Provide Feedback 84 Farrow_forward
- Remaining Time: 43 minutes, 33 seconds. Question Completion Status: C. The sin of o QUESTION 9 The average speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub your toe in the dark, estimate the time it takes the nerve impulse to travel to your brain (assume you are 1.75 m tall)? (for full credit make sure you show your work. work the problem on a sheet of paper and upload a image of the answer). Attach File Browse Local Files Browse Content Collection QUESTION 10 A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of -5.00 m/s2 as it comes to rest. a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? b)Can this plane land on a small tropical island airport where the runway is 0.800km long? Attach File Browse Local Files Browse Content Collection Click Save and Submit to save and submit, Click Save All Answers to save all answers. Save All Aarrow_forwardProjectile motion Answer these two questions : David has done the projectile experiment and he made the following table Q1 : Connection between David's results and the projectile what is the connection between David's results and abou Lunching angle 0 (*) Range Sin(20) Trial 1 sx Trial 2 sx (m) 5.03 Range Average 20 Range projectile in general (what did you find ). (m) (m) 50 60 25 0.7660 5.00 5.015 Q2:A final conclusion of what was investigated and what wa 30 0.8660 5.66 5.69 5.675 found? 35 70 0.9396 6.19 6.15 6.17 * Launch angles and ranges for an 85 kg human cannonball, * For the first trial : Second trial 10 40 20 Sin20 Stn20 00 02 04 0 DA 1D 12 14 1A 20 o 02 04 06 0.8 10 12 14 16 L8 20 - His calculation was done well and he got in the both trials roughly same velocity which is 8.091 m/s, and he got that by taking the slope of any graph.arrow_forwardPart A What is the drop distance of a 2.2-s tower? Drop Tower NASA operates a 2.2-second drop tower at the Glenn Research Center in Cleveland, Ohio. At this facility, experimental packages are dropped from the top of the tower, on the 8th floor of the building. During their 2.2 seconds of free fall, experiments experience a microgravity environment similar to that of a spacecraft in orbit. Express your answer using two significant figures. m Submit Request Answer • Part B How fast are the experiments traveling when they hit the air bags at the bottom of the tower? Express your answer using two significant figures. ? m/s Submit Request Answer Part C If the experimental package comes to rest over a distance of 0.74 m upon hitting the air bags, what is the average stopping acceleration? Express your answer using two significant figures. ΑΣφ. ? dav = m/s Submit Request Answerarrow_forward
- Diagnostic/Introductory Activity Unit 3, Lesson 4 The graph shows the results of a 200 m race run by Sarah and Hasib. Examine the graph to answer the questions below. 200mRace 250 200 150 Sarah - Hasib 100 50 10 15 20 25 30 Time (seconds) 1. Who won the race? How can you tell? 2. How does the line of the faster runner compare to the line of the slower runner? 3. At what time did the winner finish the 200m race? LOarrow_forwardhodules/items/1088224 riod n Student Home No. a0 Whooo's Reading CommonLit | My As...arrow_forwarda. Use the formula for general solution to solve the following equation b. Check for your answer. Show all the necessary steps. Dy/dt - 7y = 21arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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