# A rocket is launched from a platform that is 50 feet tall with an initial velocity of 120 feet per second. How high is the rocket after 2 seconds?

##### 1 Answer

#### Explanation:

Treat it like two vectors. One up and the other down

The down is due to gravity and it has a downward acceleration of

32.2feet per second per second written as

Let time count be

Let distance upwards be

Let distance downward be

Let upward distance be positive

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Any object that is in free fall with no other forces acting on it for a given time would have the velocity of:

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Upward velocity is constant so distance of upward vector is

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This is the mean velocity multiplied by time

Mean velocity

Initial velocity is

Final velocity [using Equation(1)]

So mean velocity is

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