Sample AP Graphing ExerciseA steel sphere is dropped from rest and the distance of the fall is given by the equationD=;gt. D is the distance fallen and t is the time of the fall. The acceleration due togravity is the constant known as g. Below is a table showing information on the firsttwo meters of the sphere's descent.Distance of Fall (m)Time of Fall (s)Distance (m)2.52.01.51.00.50.100.1400.10.500.321.000.460.31.700.592.000.630.20.4a) Draw a line of best fit for the distance vs. time graph above.0.5d) Calculate the value of g by using the slope of the graph.SteelSphereRecordingPlate0.60.7- Time (s)Db) If only the variables D and t are used, what quantities should the student graph in order to produce alinear relationship between the two quantities?c) On the grid below, plot the data points for the quantities you have identified in part (b), and sketch thestraight-line fit to the points. Label your axes and show the scale that you have chosen for the graph.

Solution Part A By plotting the graph In part B To get the linear relationship between D and t…

Sample AP Graphing Exercise A steel sphere is dropped from rest and the distance of the fall is given by the equation gt². D is the distance fallen and is the time of the fall. The acceleration due to gravity is the constant known as g. Below is a table showing information on the first two meters of the sphere's descent. Distance of Fall (m) Time of Fall (s) Distance (m) 2.5 2.0 1.5 1.0 0.5 0.10 0.14 0 0.50 0.32 0.2 1.00 0.46 1.70 0.59 2.00 0.63 0.5 0.1 0.3 0.4 a) Draw a line of best fit for the distance vs. time graph above. Steel Sphere Recording Plate 0.6 1 0.7 Time (s) b) If only the variables D and t are used, what quantities should the student graph in order to produce a linear relationship between the two quantities? c) On the grid below, plot the data points for the quantities you have identified in part (b), and sketch the straight-line fit to the points. Label your axes and show the scale that you have chosen for the graph.

Sample AP Graphing Exercise A steel sphere is dropped from rest and the distance of the fall is given by the equation gt². D is the distance fallen and is the time of the fall. The acceleration due to gravity is the constant known as g. Below is a table showing information on the first two meters of the sphere's descent. Distance of Fall (m) Time of Fall (s) Distance (m) 2.5 2.0 1.5 1.0 0.5 0.10 0.14 0 0.50 0.32 0.2 1.00 0.46 1.70 0.59 2.00 0.63 0.5 0.1 0.3 0.4 a) Draw a line of best fit for the distance vs. time graph above. Steel Sphere Recording Plate 0.6 1 0.7 Time (s) b) If only the variables D and t are used, what quantities should the student graph in order to produce a linear relationship between the two quantities? c) On the grid below, plot the data points for the quantities you have identified in part (b), and sketch the straight-line fit to the points. Label your axes and show the scale that you have chosen for the graph.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: object falling freely from rest near the surface of the planet. What is the distance the 3. The…

A: Area under velocity time graph represents displacement

Q: Part A The speed of the crate at A is 18 ft/s, which is increasing at a rate i = 2 ft/s? (Figure 1)…

A: Given Data The speed of crate at A is:v=18 ft/s The increase in speed is :v˙=2 ft/s2 The curve…

Q: • Part A At what distance above the surface of the earth is the acceleration due to the earth's…

A: Acceleration due to gravity above earth surface is given as g'=g1+hR2

Q: At each of the locations shown, draw a vector to represent the acceleration of the ball. If you know…

A: To show the direction of the acceleration at different points in the figure. Given:The figure: To…

Q: A helicopter is ascending vertically with a speed of 5.30 m/s . At a height of 107 m above the…

A: Given: The speed is u=5.30 m/s. The height is h=107 m. According to equation of kinematics:…

Q: Solve by the analytical method and graphical method Determine the speed that a boy will have on…

A: Apply the first kinematic equation and substitute the required values to determine the final speed…

Q: Alan leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 mi away. He travels at a steady…

Q: Current Attempt in Progress A penny is dropped from rest from the top of a very tall building.…

A: when penny is dropped it has 0 initial velocity according to equation of motion v2 - u2 = 2as here…

Q: You drop a marble from the top of a 90.2 meter building. The speed of the marble is ( _)m/s when it…

Q: car in stop-and-go traffic starts at rest, moves forward 21 m in 8.0 s, en comes to rest again. The…

A: Area under velocity time graph represents displacement.

Q: ION 19 a large rock is ejected from the volcano with a speed of 23.0 m/s and at an angle 30.9° above…

Q: Figure 1-Incline Track Setup Consider the following motion: x positive y Origin The cart's initial…

A: The time rate change of velocity is termed as the acceleration. An external agent that works as a…

Q: A 710.0 kg boulder is raised from a quarry 105 m deep by a long chain having a mass of 600.0 kg.…

A: In this question, Newton's second law of motion and the kinematic equations are used. Consider the…

Q: Test Information Description Instructions Multiple Attempts This test allows multiple attempts.…

A: Given: The number is R=12700 Ω. The method to convert ohm into megaohm is, R0=RΩ×1 MΩ106 Ω

Q: The motorcycle is traveling at 7 The speed is then increased at (Figure 1) Figure 1 of 1 m/s when it…

A: Given: Speed of motorcycle is 7 m/s Speed increased to 0.3 m/s2 t= 5 s

Q: What is the instantaneous velocity of a freely falling object 12 s after it is released from a…

A: Data Given , Object is released from a position of rest , means initial velocity ( u ) = 0 Time ( t…

Q: On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club…

Q: If the ball bounces straight up and returns to the floor 3.1 s after first striking it, what was the…

Q: A speed skater moving across frictionless ice at 8.5 m/s hits a 5.5 m -wide patch of rough ice. She…

Q: Question 9 A cannonball is shot from the ground with an initial horizontal velocity of 59 m/s and…

A: Given quantities: initial horizontal velocity = 59 m/s initial vertical velocity (u) = 17 m/s…

Q: 7. A speeding truck moving at a constant speed of VT = 35 m/s passes a stopped police car (call this…

A: It is given that:The speed of the carrier being chased, vT=35 m/s The acceleration of the chasing…

Q: a What is the velocity of the object at t=0? If the object is traveling with acceleration a for time…

Q: You've always wondered about the acceleration of the elevators in the 101-story-tall Empire State…

Q: 4. The blue train went an average of 60 mph for 3 hours. The red train went an average of 55 mph for…

A: ** There is nothing like total speed, it should be total distance/path length ** Given, Average…

Q: If a water balloon is thrown DOWNWARDS at a 38 degree angle (measured from the horizontal) at 5 m/s…

Q: Week 4 Fall 2019 sWB-Building Height Ironman steps from the top of a tall building. He falls freely…

A: As the ironman falls freely from the top of the building, the initial velocity is zero.Then,

Q: Conversations with astronauts on the lunar surface were characterized by a kind of echo in which the…

A: Given:- The radio wave travels with the s[ speed of v = 3×108 m/s The echo time is t = 2.49 sec.…

Q: Physics question help

A: The final answer is attached below Explanation:

Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

Sample AP Graphing Exercise
A steel sphere is dropped from rest and the distance of the fall is given by the equation
D=;gt. D is the distance fallen and t is the time of the fall. The acceleration due to
gravity is the constant known as g. Below is a table showing information on the first
two meters of the sphere's descent.
Distance of Fall (m)
Time of Fall (s)
Distance (m)
2.5
2.0
1.5
1.0
0.5
0.10
0.14
0
0.1
0.50
0.32
1.00
0.46
0.3
1.70
0.59
2.00
0.63
0.2
0.4
a) Draw a line of best fit for the distance vs. time graph above.
0.5
d) Calculate the value of g by using the slope of the graph.
Steel
Sphere
Recording
Plate
0.6
0.7
- Time (s)
D
b) If only the variables D and t are used, what quantities should the student graph in order to produce a
linear relationship between the two quantities?
c) On the grid below, plot the data points for the quantities you have identified in part (b), and sketch the
straight-line fit to the points. Label your axes and show the scale that you have chosen for the graph.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Please somebody help me with my homework the answers must be in two scientific figures and includes the appropriate units. Thank you
Enter an expression for the distance, X one traveled by the car in terms of V1 V2 and a Enter an expression for X1 in terms of X and d when the driver just barely avoid collision calculate the value of a in meters per second squared
QUESTION 12 A rest observer is measuring the velocity of an object that is moving with a constant acceleration In 1D. At t1=0 s, the observer measures velocity of the object is 18 m/s. At t2-12 s, the observer measures velocity of the object is 97 m/s. what is the distance not required to include the unit in your answer)? (Note: For fill in blank, I have set the unit for the answer. So, you just need to provide a number - Please write your numerical answer with all digits and do not use scientific notation. If you are not sure about the number of significant figures, you can keep the number of figures as many as possible – You will not be punished for doing this.) m of the object that has moved from time t1 to t2 (In the unit of m, you are QUESTION 13 A bicyclist starts a timed race at 6.0 mi/h. In order to win, he must average 21 mi/h. Assuming constant acceleration from the start, how fast must he be traveling at the end of the race? OA 24 mi/h Save and Submit to save and submit.…
On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club improvised from a tool. The free-fall acceleration on the moon is 1/6 of its value on earth. Suppose he hit the ball with a speed of 23 m/s at an angle 32° above the horizontal. Part A How long was the ball in flight? Express your answer with the appropriate units. µA ? t= Value Units Submit Request Answer 4 Part B How far did it travel? Express your answer with the appropriate units. Imoon = Value Submit Request Answer Part C Units Ignoring air resistance, how much farther would it travel on the moon than on earth? Express your answer in meters. ΜΕ ΑΣΦ ?
Current Attempt in Progress A woman on a bridge 106 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 8.50 m more to travel before passing under the bridge. The stone hits the water 3.50 m in front of the raft. Find the speed of the raft. Number i Units
Part A The first active volcano observed outside the Earth was discovered in 1979 on lo, one of the moons of Jupiter. The volcano was observed to be ejecting material to a height of about 3.00 x 10 m. Given that the acceleration of gravity on lo is 1.80 m/s", find the initial velocity of the ejected material. Express your answer using three significant figures. ? v = km/s Submit Request Answer Provide Feedback Next >
I Review I Constants Part A Moe and Joe take a car trip. Moe drives at an average speed of 40 mph for the first hour and then they stop for gas for 10 minutes. After filling gas, Joe drives at an average speed of 35 mph for 40 minutes, and then the traffic clears and he gets to drive at an average speed of 60 mph for half hour. Find the average speed of the car on this trip. Express your answer in mph to two significant figures. MacBook Air 838 7. %23 DD 2. %24 3. & 5. 7. 8. delet H. B. alt option command alt OSISOW command option 00
Please only tapy answer
Part A The crate shown in (Figure 1) lies on a plane tilted at an angle 0 = 26.0 ° to the horizontal, with uk = 0.19. Determine the acceleration of the crate as it slides down the plane. Express your answer to two significant figures and include the appropriate units. HA ? a = Value Units Submit Request Ans Part B If the crate starts from rest 8.50 m up along the plane from its base, what will be the crate's speed when it reaches the bottom of the incline? Express your answer to two significant figures and include the appropriate units. µA V = Value Units Figure 1 of 1 Submit Request Answer < Return to Assignment Provide Feedback
Constants A shot-putter throws the "shot" (mass = 7.3 kg) with an initial speed of 14.6 m/s at a 31.0 ° angle to the horizontal. Part A Calculate the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of 2.20 m above the ground. Express your answer using three significant figures and include the appropriate units. HẢ ? d = Value Units
A ball is thrown upward from a height of 1152 feet above the ground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v(t)=96−32t feet per second. a) Find s(t), the function giving the height of the ball at time t. b) How long will the ball take to reach the ground? c) How high will the ball go? Question content area bottom Part 1 a) s(t)= Part 2 b) The ball will reach the ground after ___ seconds. Part 3 c) The ball will go ____feet high.