Please answer numbers 13 14 and 15
1 answer:
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To solve this we are going to find the maximum eight of the parabola first. Since the parabola is opening downwards, the maximum height of the ball will be the t-coordinate of its vertex.
Remember that to find the vertex
of a parabola of the form 
we use the vertex formula: 
, and then, we evaluate our function at 
to find 
.
We can infer for our parabola that
and 
, so lets replace those values in our formula:
Now we now that the ball reaches its maximum height in 0.5 seconds.
Next, we are going to determine how long it takes for the ball to hit the ground. To do that we are going to set the time
equal to zero and solve for 
:
or 
Since time cannot be negative, the answer is
We can conclude that a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground is <span>B: 0.5 < t < 2</span>
Remember that to find the vertex
We can infer for our parabola that
Now we now that the ball reaches its maximum height in 0.5 seconds.
Next, we are going to determine how long it takes for the ball to hit the ground. To do that we are going to set the time
Since time cannot be negative, the answer is
We can conclude that a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground is <span>B: 0.5 < t < 2</span>