# A rock is shot vertically upward from the edge of the top of a tall building.The rock reaches its maximum height above the top of the building 1.60 s after being shot ?

The initial upward velocity of the rock is

FULL QUESTION

A rock is shot vertically upward from the edge of the top of a tall building.The rock reaches its maximum height above the top of the building 1.60 s after being shot.

Then, after barely missing the edge of the building as it falls downward, the rock strikes the ground 8.00 s after it is launched.

In SI units:

(a) with what upward velocity is the rock shot,

(b) what maximum height above the top of the building is reached by the rock, and

(c) how tall is the building?

At maximum height, the velocity of the rock is equal to zero. Since you know how much time is needed for the rock to reach maximum height, you can say that

This means that you have

The distance covered by the rock while it moves upward is

SInce it takes the rock a total of 8.00 s to fall to the ground from the moment of its launch, you can say that

This means that you can write

SIDE NOTE The values are rounded to three sig figs.

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The time of flight for the rock is 3.20 seconds.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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