Lab 3 Projectile Motion Brown
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Lab 3 – Projectile Motion
Isabelle Brown KHP415-006
September 27, 2023
1
Discussion questions
1. Based on your estimates of shot error, which two shots went in the hoop eventually? Were your predictions accurate?
Given that the radius of a regulation basketball rim is 9 in, assess of the validity of the predictions made using video analysis. (5 pts)
The estimates of shot error that went in eventually was shot 2 being that it was positive and close to the rim regulation (0.112 meters). The next shot that was close to or could have possibly gone in was shot 1 because the shot error (0.798 meters) was also positive. My predictions based upon my shot errors were accurate. The test is valid because the absolute
values of the shot errors was lower than the radius of the rim, meaning that the predictions came out to be accurate and what they were intended to be. The radius regulation of the rim being 0.229 meters (9 in.). 2. Which two shots did you predict would miss the hoop, went long or fall short? Were your predictions successful? (5 pts)
The two shots that were predicted to miss the hoop was shots 3 and 4. The values the shot errors were -0.287 and -1.8. These values lead me to believe that the shots fell short of the basketball hoop, or they hit the backboard and bounce off the rim. My predictions were not successful because they did not go in the hoop. 3. Drag forces due to air resistance were ignored. What sort of horizontal ball accelerations would these forces produce –
leftward or rightward? By ignoring these forces do you think you overestimate or underestimate the shot error? (10
pts)
There are no other forces on horizontal ball accelerations but there is a gravity force on the vertical ball acceleration. By ignoring these forces, the shot errors of shots 1 and 2 were overestimated being positive values. Shots 3 and 4 were underestimated being negative values. The direction is leftward.
4.
Manual digitization in Tracker is not error free. If we assume that your digitized ball locations were offset by 1 cm,
make a worst-case estimate of the true ball velocity for sho1. To do this, compute the distance traveled by the ball from
frame
1 to frame 2 then add 2 cm representing the total error in measurement for both frames. What is the percentage
difference between the magnitude of the velocity computed using this distance and the velocity you originally found?
Show your calculations in the report. (10 pts)
x-position at frame 2 with error predictions: 1.548+0.02= 1.568 x-component with error predictions: 1.568-1.419= 0.149 0.149/0.033= 4.52
Magnitude of Initial Velocity √6.55
2 m/s + 4.52
2 m/s= 7.75 m/s (with prediction error- 0.02) 7.62 m/s (initially)
7.62-7.95=0.33
0.33/ (7.62+7.95/2) x 100= 4.23% %Diff= 4.23% 2
5.
In the lecture we discussed an optimal angle of release that produces the farthest throw for a given initial velocity. In
theory, basketball shots released at almost an angle have the potential to go in but Brancazio (1981) concluded that there
is an optimal angle of release. What angle, or range of angles was recommended by the author, and what is the reasoning
behind this? (10 pts)
The recommended angle is a range of >45-55°. Height is relative to angle. The horizontal components and vertical components are independent of one another. Increase the fly time. The reason for this optimal angle of release is to increase the fly time of the object. 3
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Related Questions
1 Overview
Ballistics is the science of projectile motion and impact, phenomena well described by
Newtonian mechanics. The number of applications of this type of analysis is staggering, ranging
from such mundane issues as automobile accident simulations and optimal golfing to the critical
studies of missile defense and space exploration. Somewhat less dramatically, in this project we
will use Newtonian mechanics to describe the flight of a sponge dart, light enough so that air
resistance will play a critical role.
2 Experimental Data
The data for this project was collected by firing sponge darts from a toy gun ($3.99, WalMart).
The table below shows a set of measurements for distance traveled (by the projectile) versus
angle of inclination of the gun, taking angles of inclination 5, 10, 15, . 85 degrees. The darts
were fired from a height of . 18 meters.
Angle of 5
Inclination
Distance
10
15
20
25
30
35
40
45
4.37
5.23
6.95
7.84
8.17
8.69
8.81
8.99
8.95
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Angle of
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SKETCHPAD
Question 11
A plane is flying north with a 51 meters per second. If a wind, at 17 meters per second, is
blowing from N-37°-E, what is the velocity of the plane relative to the ground? Round your
answer to the nearest hundredth.
Show your work
Note: If you would rather show your work on a separate sheet of paper, you may upload your work in
Question 12.
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Part A
Suppose the instructions for a scavenger hunt tell you to walk 6.2 km west, 7.3 km south, 9.6 km east, then 3.4 km north. How far will this scavenger hunt take you from the starting point?
Express your answer with the appropriate units.
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Express your answer in degrees.
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Answer the question and give what is ask. Don't forget to box the final answer. Thank you
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Task 3
As a part of your role in the motion and dynamics analysis department, you have been asked to
design a mission consists of airplane and boat. The mission target is to deliver a package by the
airplane that must be picked by the boat. You must provide two analysis steps to solve the
problem:
50 m/s
Package
Figure.2: Package of emergency supplies
Part 1
• The airplane traveling horizontally at 50 m/s
• The airplane is 150 m above the sea
9. Write the displacement vector r* as a function of time and find by calculus the acceleration
vector a".
10. Compare the acceleration vector you have got from Part.9 with the known projectile motion
values.
11. What is your student ID?
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Question 1
Q Zoom
Question 1
In scenario I, two men lifted a heavy couch and have just begun moving to the right. In scenario II, the car is moving to the right with constant velocity.
Scenario I
Scenario II
V = constant
Al..-:---r..- - TM --
https://testing.illuminateed.com/assessment/61083c6a612b2ed5078b46a5/614491874d212e07088b4dd6/review?rldbqn=1
1O
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4
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Part A
Kangaroos have been clocked at speeds of 65
km/h. You may want to review (Pages 22 - 24).
How far can a kangaroo hop in 4.0 minutes at this speed?
Express your answer using two significant figures.
d = 4.3 km
Submit
Previous Answers
Correct
Correct answer is shown. Your answer 4.33 km was either rounded differently or used a different numb
significant figures than required for this part.
Here we learn how to determine a distance using the speed of an object and its time of motion.
Part B
How long will it take a kangaroo to hop 0.20 km at this speed?
your answer using two significa
figures.
ΑΣφ
?
t =
Submit
Previous Answers Request Answer
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VB = 5.8 m/s. After the collision, assumed elastic, ball
B is moving along the positive y axis(Figure 1).
Figure
1 of 1
+y
0.
Copyright 2021 Pearson Education In
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We are given that A is a point of closest approach for the trajectory T.
Find the change of velocity at A (write it as vfinal – vinitial where vfinal is the velocity at A on the elliptical path A to B, and vinitial is the velocity at A on the trajectory T)
Find the velocity at B.
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1.5 m
B
Vo
A
65°
Referring to the figure above:
a. Write the equation that represents the time it takes for the ball to reach point B from point A
b. What is the magnitude of Vo
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Physics
Please help me with this Physics homework question
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Plz solve correctly all parts Don't use chat gpt
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Hiii i need help please :)
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How do I solve this question
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toright
or
ht
Enter
eft
cente
Particle Motion Practice
noitoM isenilite
Peanut the kitten pretty much has run of the basement. Her
favorite pastime is batting a ball along one of the basement
walls. The wall is 20 feet long with the exact center of the
wall position 0, the left edge of the wall position -10, and
the right edge of the wall position 10. During a particularly
frisky playtime Peanut's position along the wall is given by
the equation s(t)= t³ −3t² −2t+1
oniasenpeb ei (1)
1) Evaluate and explain what is meant by s(0), s(2), and s(4)
2) Find her velocity and speed at times t=1 and t=3.5
seconds. Give her average velocity over the interval [1,3.5]
3) On the interval [0,4] when is she decelerating?
pniar
(v
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Question 3 A and B (1 question 2 parts) I don't know how they got 6.62 seconds
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PRACTICE ANOTHER
You are watching basketball and see (insert name of your favorite player here) shoot the ball at 14.1 m/s an angle of 28.0° and a height of 6 feet 3 inches above the floor. The ball goes
into the net located exactly 10 feet above the floor.
(a) Find the time that the ball is in the air.
DETAILS
(b) Find the horizontal distance from the player to the basket.
(c) Find the maximum height the ball reaches above the floor.
MY NOTES
ASK YOUR TEACHER
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PLEASE HELP ASAP.
PHYSICS ALGEBRA
With exact decimals!
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Related Questions
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