What exponent equals 7,776

Step-by-step explanation:

The exponential form of 7776 is down here! v

6^5 = 6*6*6*6*6 = 7776

The maximun height that the rocket will reach is 3150 ft.

Step-by-step explanation:

This problem requieres that we maximize the function. For this we need the function to be of the form:

We already have that covered, as the height of the rocket is represented by:

We start calculating the derivative of h(t), wich is:

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

This means that 15 seconds is the time at wich the rocket will reach it's maximum height.

We replace this value in the original equation to solve the problem:

With this we can conclude that the maximum height the rocket will reach is 3150 ft.