## A projectile is launched upward with a velocity of 288 feet per second from the top of a 65 foot structure . What is the maximum height atta

Question

A projectile is launched upward with a velocity of 288 feet per second from the top of a 65 foot structure . What is the maximum height attained by the projectile ?

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The maximum height attained by the projectile is 412.94 meters = 1359.79 feet.

Step-by-step explanation:

The height formula has the following formula: In which is the initial height, is the initial speed and g = 9.8 m/s² is the gravity.

In this problem, we have that:

We are working with the gravity in meters, so we must convert the feet measures to meters.

Each feet has 0.3048 meters.

So 288 feet per second = 87.78 meters per second.

65 foot = 19.81 meters.

This means that: So The maximum height is attained at the moment of time in which the velocity is 0. The velocity is the derivative of the height. So:    The maximum height is attained at 8.96s. This height is  The maximum height attained by the projectile is 412.94 meters = 1359.79 feet.