To catch a frisbee, a dog leaps into air with an initial velocity of 14 feet per second. Write a model for the height of the dog above the ground. After how many seconds does the dog land on the ground?

Model:

The dog land on the ground after 0.8706 seconds.

Step-by-step explanation:

The model that said the height of the dog above the ground is a model of uniform acceleration motion, so it is:

Where is the initial height, is the initial velocity and is the gravity.

So, replacing by zero, by 14 feet per second and by , we get that the model  for the height of the dog above the ground is:

Then, the time t when the dog land on the ground is calculated replacing by zero and solving for t as:

Now, we have two possible solutions:

or

Taking into account that t=0 is the time when the dog leaps into air, the time when the dog land on the ground is equal to 0.8706 seconds and it is calculated as:

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a