Gold Seal Lesson:
Acceleration Due To Gravity

Copernicus Education Gateway

 

Subject:

Science

Grade:

 

 

9-12

 

 

ICLE Standards:

 

 

Mathematics: Represent situations that include variable quantities with expression, equations, inequalities, and matrices.

Science: Develop the abilities of scientific inquiry. Develop an understanding of forces and motion.

 

 

Performance Task:

 

 

Anthony was sitting home late one night after studying for a major physics test. Before going to bed, he decided to flip through the television channels to see what was showing. He stopped on the David Letterman Show. David was doing a skit on dropping objects off a building to see what they look like after they hit the ground. While watching this silly but amusing skit, Anthony wondered how fast the objects were traveling when they hit the ground, how far they dropped, and do all the different sized objects fall at the same rate?

When you complete this activity, you should be able to help Anthony answer these questions.

Materials Needed: Stop watch and several small objects such as: a golf ball, a tomato, a tennis ball, a cantaloupe, a watermelon, or a chicken egg.

  1. Decide with your partner who will go to the top of the building or tall structure to drop the objects and who will remain on the ground as the timekeeper. One person will drop each object while the partner on the ground measures the amount of time it takes for each object to fall to the ground. The time (T) will be recorded in seconds.

  2. Using the formula vf = no + gt, where vo = the initial velocity and g = the acceleration of gravity = 9.8 meters/second2, find the vf, the final velocity of each object.

  3. Using the formula d = 1/2 gt2, find the distance each object fell, or the height of the building or tall structure from which the objects were dropped.

  4. Acceleration is defined as the rate of change in velocity with respect to the change in time. Using the data collected in this activity, verify that g, the rate of acceleration due to gravity, is equal to 9.8 m/sec2.

  5. In your science lab notebook, write a brief summary of this activity. State any conclusions that you can make. Also state how this knowledge can be applied in a practical real-world situation.

Note to the teacher: This activity provides an opportunity to apply mathematical knowledge to a scientific inquiry in physics. Students will work in pairs to compare the speed of different sized objects dropped from a building or tall object (e.g., a ladder). Students will find the velocity of a falling object using the formula vf = vo + gt, where g = 9.8 meters/second2 and the distance fallen by the object using the formula d = 1/2gt2. As a result of this activity, students should have an understanding of the principle of acceleration of an object during free fall due to gravitational pull.

 

 

Knowledge / Skills:

 

 

Know and apply the principles of scientific inquiry.  (s114)

Understand and apply kinematics (i.e., the mathematical methods of describing motion without regard to the forces that produce it, such as velocity, acceleration and deceleration, and displacement).  (s77)

Understand and apply statics (i.e., the relation between forces acting on an object at rest) and dynamics (i.e., the relation between the forces acting on an object and the resulting motion).  (s84)

Perform operations with signed (positive and negative) numbers, including decimals, ratios, percents, and fractions.  (m1)

Understand the use of variables in expressions such as 4x, x+2, and 2x-1, solve for the variable, and know how to represent expressions such as "twice the number" or "four more than the number" using variables.  (m7)

Know the survival requirements of the human population and the history and implications of population growth.  (s40)

 

 

Rubric:

 

 

3 Points  =  The student works cooperative to drop the objects and measures the time required for the objects to reach the ground accurately. The student manipulates formulas to find the speed and distance for each object. The student is able to verify the value of g, the rate of acceleration due to gravity. The summary report shows that the student has a thorough understanding of the concepts of mass, velocity, and acceleration. The student is able to make at least one conclusion and is able to state how the concepts could be applied to a practical situation.

 

 

2 Points  =  The student works cooperatively to drop the objects and measures the time required for the objects to reach the ground, but has difficulty doing this with accuracy. The student needs some coaching in manipulating the formulas to find the speed and distance for each object and verifying the value of g. The summary report shows that the student has a fair understanding of the concepts of mass, velocity, and acceleration. The student has difficulty stating a conclusion and stating how the concepts could be applied to a practical situation.

 

 

1 Point  =  The student has trouble working cooperatively to perform the task and does not complete the task. The data have inaccuracies, causing problems with the remainder of the task. The written report is vague and demonstrates little, if any, understanding of the concepts of mass, velocity, and acceleration. The student does not attempt to verify the value of g. The student does not draw any conclusion and can not apply the concepts to a practical situation.

 

 

0 Points  =  The student is uncooperative with his/her partner on the task and makes little attempt to complete the task. Any data collected are grossly inaccurate. The student is unable to work with the formulas and show virtually no understanding of the concepts. No meaningful report is written. The student does not draw a conclusion nor apply the concepts to a practical situation

 

 

Keywords:

 

 

PHYSICS
GRAVITY
MATTER
MOTION
NEWTON'S LAW
COMPUTATION
INFERENCE
ALGEBRAIC OPERATIONS
TECHNICAL WRITING                  
EARTH SCIENCE
SCIENTIFIC INQUIRY

 

 

Grades:

 

 

Kg [] - 1 [] - 2 [] - 3 [] - 4 [] - 5 [] - 6 [] - 7 [] - 8 [] - 9 [X] - 10 [X] - 11 [X] - 12 [X]

 

 

ICLE Application:

 

 

D

 

 

 

 

 

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