Arrange the equations in the correct sequence to rewrite the formula for displacement, d=1/2(v0+v)t, to find v0. in the formula, d is displacement, v0 is the initial velocity, v is the final velocity, and t is the time.

2d/t=v0+v
v0=2d/t+v
2d=(v0+v)t
2t/d=v0+v
v0=2d/t-v

it is supposed to be in a sequence of 3.

C: maximum height=62.25 feet; time=3.85 seconds

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots such that , given by the following formulas:

In this question:

The height of the ball, after t seconds, is given by the following equation:

Which is a quadratic equation with

Maximum height:

Since a < 0, we can find the maximum value of the function. We have that:

The maximum height is of 62.25 feet.

Seconds to reach the ground:

Since time is a positive measure, 3.85 seconds.

The correct answer is given by option C.