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AmTran_Bus

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## Homework Statement

A lemming marches off an ice berg, falling directly downward from a height of 12.40 meters. 0.10 seconds later, he is 9.151 meters above the ocean below. 0.20 seconds this altitude is reduced to 5.804 meters, and at 0.30 seconds he as fallen to 2.359 meters above the ocean.

1. Via Matrix operations, develop a mathematical expression that represents this fall.

2. If the lemming failed to bring an umbrella, how many seconds into this fall would he impact the ocean?

3. If he did have an umbrella to break his fall, and he opened it 7.000 meters above the water, how much time would he have fallen freely prior to opening the umbrella?

4. What would his speed be the instant he opened his umbrella?

5. What is his acceleration due to gravity?

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I know the Times (t) and the altitudes (a)

I know there is an I, J, and K component when dealing with velocity and such in physics.

## Homework Equations

-Sarrs Law could be used to solve a 3x3 or 2x2 matrix, however, I don't think that is possible for this particular problem.

To find the acceleration, I know to take the f''(x) is required.

## The Attempt at a Solution

0, 0.10, 0.20. 0.30 (T)

12.40, 9.151, 5.804, 2.359 (A)

If I new this was right and how to solve this thing, I think I could take the determinant to get part B?

For part C, I think I could plug in the 7.000 into my velocity equation.

Again, without the matrix, I can not derive the first equation.

This is a high school physics problem.