#### Consider a grey squirrel falling out of a tree to the ground.

#### (a) If we ignore air resistance in this case (only for the sake of this problem), determine a squirrel’s velocity just before hitting the ground, assuming it fell from a height of 3.0 m.

#### (b) If the squirrel stops in a distance of 2.0 cm through bending its limbs, compare its deceleration with that of the airman in the previous problem.

**SOLUTION:**

Part a

We are given

Note that the acceleration is due to gravity and its value is constant at . Also, the distance, x, is negative because of the direction of motion. For free fall, downward motion is considered negative. To solve for the velocity just before it hits the ground, we have

Part b

We are given

To solve for the acceleration, we have

This is approximately 3 times the deceleration of the pilots from the previous problem, who were falling from thousands of meters high.

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