Ask question

Ask question

All categories

2 years ago

6

Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. Using the formula H(t

) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

1 answer:

Sedaia [141]2 years ago

5 0

Answer:

The maximum height of soccer ball is 12.25 ft.

Step-by-step explanation:

It is given that Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. It means v = 28 ft.

Given formula is

$H(t)=-16t^2+vt+s$

The initial height of ball is 0.

$H(0)=-16(0)^2+v(0)+s$

$0=s$

The height of ball defined by the function

$H(t)=-16t^2+(28)t+0$

$H(t)=-16t^2+28t$

It is a downward parabola and the vertex of a downward parabola is the point of maxima.

The vertex of a parabola $f(x)=ax^2+bx+c$ is

$(\frac{-b}{2a},f(\frac{-b}{2a}))$

$\frac{-b}{2a}=\frac{-28}{2(-16)}=0.875$

$H(0.875)=-16(0.875)^2+28(0.875)=12.25$

Therefore the maximum height of soccer ball is 12.25 ft.

You might be interested in

Here is parallelogram ABCD:

Eduardwww [97]

Answer:

They are the came length. And are like mirrored.

Step-by-step explanation:

5 0

2 years ago

What is the ratio for

sweet [91]

Answer:

12/13

Step-by-step explanation:

By definition, for a right triangle with an internal angle X

sin X = length of opposite side / length of hypotenuse

in this case,

for angle F, the opposite side = GH and the hypotenuse is HF

hence

sin F = GH / HF = 12/13

4 0

2 years ago

Read 2 more answers

Find the approximate area of a circle that has a diameter of 11 inches. Round your answer to the nearest hundredth

OLga [1]

Answer:

95.03in.^2

Step-by-step explanation:

Use the formula, A= pi r^2 and D=2r

A=1/4pi d^2=1/4 times pi time 11 squared

4 0

1 year ago

XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for thi

Rashid [163]

Answer:

The coordinates are $Y'(x,y) = (3, 8)$ and $Z'(x,y) = (10, 13)$ .

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

$X'(x,y) = X(x,y) + T(x,y)$ (1)

Where $T(x,y)$ is the vector translation.

If we know that $X(x,y) = (2,3)$ and $X'(x,y) = (4,7)$ , then the vector translation is:

$T(x,y) = X'(x,y)-X(x,y)$

$T(x,y) = (4,7) - (2,3)$

$T(x,y) = (2, 4)$

Then, we determine the coordinates for Y' and Z':

$Y'(x,y) = Y(x,y) + T(x,y)$

$Y'(x,y) = (1,4) + (2,4)$

$Y'(x,y) = (3, 8)$

$Z'(x,y) = Z(x,y) + T(x,y)$

$Z'(x,y) =(8,9) + (2,4)$

$Z'(x,y) = (10, 13)$

The coordinates are $Y'(x,y) = (3, 8)$ and $Z'(x,y) = (10, 13)$ .

7 0

2 years ago

To be eligible for a basketball tournament, a basketball team must win at least 60% of its remaining games. If the team has 21 g

natali 33 [55]

They would have to win 12.6 games. You need to find 60% of 21

6 0

3 years ago