To solve this problem, we need to know that the path of a projectile can be described with the following equations:

In these equations, t is time and g is the acceleration due to gravity.

First, you need to write the position of the ball as a pair of parametric equations that define the path of the ball at anytime, t, in seconds:

As you set up the equation for y, use the value g = -32.

Finally, find x and y when t = .05:

To find the height that the ball will be at when it has travelled horizontally, plug 400 feet (horizontal distance) in for x.

This tells us that the ball has travelled 400 feet horizontally when 2.84 seconds have passed. Let's use the value of t = 2.84 and plug it into our equation for y to see how high the ball is at this time:

This means that when the ball has travelled 400 feet horizontally, 2.84 seconds have passed, and the ball is 16.65 feet above the ground.

In order to subtract matrices, they have to be of the same dimension. In this case, they are both 2x2. 

The formula to subtract matrices is as follows:

Using this formula we plug in our values and solve:

In order to subtract matrices, they have to be of the same dimension. In this case, they are not. One is 2x2 while the other is 2x1.

As such, we cannot find their difference. 

The answer is No Solution. 

The first step in solving this problem is to multiply the matrix by the scalar.

We then have to make sure we can subtract the matrices.

In order to subtract matrices, they have to be of the same dimension. In this case, they are both 2x2.

Using our new matrix from multiplying the scalar and subtracting it from our other matrix we get the following:

To be able to subtract matrices, the matrices must have the same size.

A is 3x3 and B is 3x4. Therefore we can't perform this operation.

When subtracting matrices, you want to subtract each corresponding cell.

Now solve for  and 

You can treat matrices just like you treat other members of an equation. Therefore, you can subtract the matrix

from both sides of the equation.  This gives you:

Now, matrix subtraction is simple. You merely subtract each element, matching the correlative spaces with each other:

Then, you simplify:

Therefore, 

To find the difference between two matrices with the same dimensions, we simply subtract each entry from the right matrix from the corresponding entry of the left matrix. After performing the operation 9 times, we get the following matrix:

Because the two matrices have the same dimension, the difference exists

To solve this problem, subtract the corresponding numbers in each matrix: . Then, put those answers in the corresponding places in the answer matrix, so that you get: .