Gravity and Acceleration Mr. Monroe November 1, 2007

A cow falls out of an airplane, what is its rate of acceleration, excluding air resistance?

A cow falls out of an airplane, what is its rate of acceleration, excluding air resistance? Gravity is a force that causes ALL things on Earth to fall with a rate of acceleration of 9.8 m/s/s.

A cow falls out of an airplane, what is its rate of acceleration, excluding air resistance? If the cow falls for 45 seconds, excluding air resistance, how fast will it be plummeting to its end as a burger?

A cow falls out of an airplane, what is its rate of acceleration, excluding air resistance? If the cow falls for 45 seconds, excluding air resistance, how fast will it be plummeting to its end as a burger? 9.8 m/s 45 seconds ---------- x --------------- = 441 m/second s 1

A cow falls out of an airplane A cow falls out of an airplane. It falls at the commonly accepted acceleration due to gravity, and it fell for 55 seconds, without air resistance. How far did it fall, before it hit a soft billowy pile of hay, that allowed it to live out its natural life in peace and tranquility?

A cow falls out of an airplane A cow falls out of an airplane. It falls at the commonly accepted acceleration due to gravity, and it fell for 55 seconds, without air resistance. How far did it fall, before it hit a soft billowy pile of hay, that allowed it to live out its natural life in peace and tranquility? The formula that you must work with is Distance = 1/2 acceleration • time2

A cow falls out of an airplane A cow falls out of an airplane. It falls at the commonly accepted acceleration due to gravity, and it fell for 55 seconds, without air resistance. How far did it fall, before it hit a soft billowy pile of hay, that allowed it to live out its natural life in peace and tranquility? The formula that you must work with is Distance = 1/2 acceleration • time2 Distance = .5(9.8 m/s/s) • 552

A cow falls out of an airplane A cow falls out of an airplane. It falls at the commonly accepted acceleration due to gravity, and it fell for 55 seconds, without air resistance. How far did it fall, before it hit a soft billowy pile of hay, that allowed it to live out its natural life in peace and tranquility? The formula that you must work with is Distance = 1/2 acceleration • time2 Distance = .5(9.8 m/s/s) • 55 seconds2 Distance = 4.9 m/s2 • 3,025 s2

A cow falls out of an airplane A cow falls out of an airplane. It falls at the commonly accepted acceleration due to gravity, and it fell for 55 seconds, without air resistance. How far did it fall, before it hit a soft billowy pile of hay, that allowed it to live out its natural life in peace and tranquility? The formula that you must work with is Distance = 1/2 acceleration • time2 Distance = .5(9.8 m/s/s) • 55 seconds2 Distance = 4.9 m/s2 • 3,025 s2 Distance = 4.9 m/s2 • 3,025 s2

A cow falls out of an airplane A cow falls out of an airplane. It falls at the commonly accepted acceleration due to gravity, and it fell for 55 seconds, without air resistance. How far did it fall, before it hit a soft billowy pile of hay, that allowed it to live out its natural life in peace and tranquility? The formula that you must work with is Distance = 1/2 acceleration • time2 Distance = .5(9.8 m/s/s) • 55 seconds2 Distance = 4.9 m/s2 • 3,025 s2 Distance = 4.9 m/s2 • 3,025 s2 Distance = 14,823 meters, or about 9 miles.

A ball rolls of of a 1. 35 meter tall table A ball rolls of of a 1.35 meter tall table. How long does it take it to fall to the ground?

A ball rolls of of a 1. 35 meter tall table A ball rolls of of a 1.35 meter tall table. How long does it take it to fall to the ground? The formula that you must work with is Distance = 1/2 acceleration • time2

A ball rolls of of a 1. 35 meter tall table A ball rolls of of a 1.35 meter tall table. How long does it take it to fall to the ground? The formula that you must work with is Distance = 1/2 acceleration • time2 1.35 = 4.9 x t2 (I purposefully left off the labels)

A ball rolls of of a 1. 35 meter tall table A ball rolls of of a 1.35 meter tall table. How long does it take it to fall to the ground? The formula that you must work with is Distance = 1/2 acceleration • time2 1.35 = 4.9 x t2 (I purposefully left off the labels) 1.35 ÷ 4.9 = t2

A ball rolls of of a 1. 35 meter tall table A ball rolls of of a 1.35 meter tall table. How long does it take it to fall to the ground? The formula that you must work with is Distance = 1/2 acceleration • time2 1.35 = 4.9 x t2 (I purposefully left off the labels) 1.35 ÷ 4.9 = t2 0.28 seconds = t2

A ball rolls of of a 1. 35 meter tall table A ball rolls of of a 1.35 meter tall table. How long does it take it to fall to the ground? The formula that you must work with is Distance = 1/2 acceleration • time2 1.35 = 4.9 x t2 (I purposefully left off the labels) 1.35 ÷ 4.9 = t2 0.28 seconds = t2 0.52 sec = time

Isaac Newton (1642 - 1727)

Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it.

Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it.

The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. Acceleration and force are vectors (as indicated by their symbols being displayed in slant bold font); in this law the direction of the force vector is the same as the direction of the acceleration vector.

The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. Acceleration and force are vectors (as indicated by their symbols being displayed in slant bold font); in this law the direction of the force vector is the same as the direction of the acceleration vector.

For every action there is an equal and opposite reaction.

1. The elephant and the feather each have the same force of gravity. 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. 5. The elephant weighs more than the feather, yet they each have the same mass. 6. The elephant clearly has more mass than the feather, yet they each weigh the same. 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.

1. The elephant and the feather each have the same force of gravity 1. The elephant and the feather each have the same force of gravity. FALSE 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. 5. The elephant weighs more than the feather, yet they each have the same mass. 6. The elephant clearly has more mass than the feather, yet they each weigh the same. 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.

1. The elephant and the feather each have the same force of gravity 1. The elephant and the feather each have the same force of gravity. FALSE 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. FALSE 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. 5. The elephant weighs more than the feather, yet they each have the same mass. 6. The elephant clearly has more mass than the feather, yet they each weigh the same. 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.

1. The elephant and the feather each have the same force of gravity 1. The elephant and the feather each have the same force of gravity. FALSE 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. FALSE 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. FALSE 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. 5. The elephant weighs more than the feather, yet they each have the same mass. 6. The elephant clearly has more mass than the feather, yet they each weigh the same. 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.

1. The elephant and the feather each have the same force of gravity 1. The elephant and the feather each have the same force of gravity. FALSE 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. FALSE 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. FALSE 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. FALSE 5. The elephant weighs more than the feather, yet they each have the same mass. 6. The elephant clearly has more mass than the feather, yet they each weigh the same. 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.

1. The elephant and the feather each have the same force of gravity 1. The elephant and the feather each have the same force of gravity. FALSE 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. FALSE 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. FALSE 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. FALSE 5. The elephant weighs more than the feather, yet they each have the same mass. FALSE 6. The elephant clearly has more mass than the feather, yet they each weigh the same. 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.

1. The elephant and the feather each have the same force of gravity 1. The elephant and the feather each have the same force of gravity. FALSE 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. FALSE 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. FALSE 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. FALSE 5. The elephant weighs more than the feather, yet they each have the same mass. FALSE 6. The elephant clearly has more mass than the feather, yet they each weigh the same. FALSE 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.

1. The elephant and the feather each have the same force of gravity 1. The elephant and the feather each have the same force of gravity. FALSE 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. FALSE 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. FALSE 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. FALSE 5. The elephant weighs more than the feather, yet they each have the same mass. FALSE 6. The elephant clearly has more mass than the feather, yet they each weigh the same. FALSE 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. FALSE 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.

1. The elephant and the feather each have the same force of gravity 1. The elephant and the feather each have the same force of gravity. FALSE 2. The elelphant has more mass, yet both elephant and feather experience the same force of gravity. FALSE 3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass. FALSE 4. On earth, all objects (whether an elephant or a feather) have the same force of gravity. FALSE 5. The elephant weighs more than the feather, yet they each have the same mass. FALSE 6. The elephant clearly has more mass than the feather, yet they each weigh the same. FALSE 7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each. FALSE 8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each. FALSE

Your job, if you decide to take it.

Your job, if you decide to take it. The spouse says that the driver did not see the sign, and was going way too fast for conditions.

Spouse says car flew off the cliff, at 50 meters per second.

You and your partner have been called in to see if the spouse is telling the truth.

Could this have happened as the “witness” says? 35m 45 m

First, how long was the car in the air? d = 1/2 mass • time2 35 m = 1/2 (9.8 m/s/s) • time2 divide both sides by 1/2 acceleration 35 ---- = time2 4.9 gives 7.14 = time 2 taking square root of both sides equals 2.67 seconds is time

We now know that The car was in the air for 2.67 seconds. We were TOLD that is was moving at 50 meters/sec. We take a tape measure and see that it actually landed 45 meters from the base of the cliff. We use formula speed = distance ÷ time to see if all matches up. s = d ÷ t, distance = speed • time Distance = 50 m/s • 2.67 seconds. Distance = 134 meters (NOT 45 METERS), so spouse lied. You cracked the case, and will be getting your gold shield as a junior detective :)