Falling action of a good man is hard to find

A ball is thrown vertically in the air with a velocity of 95 ft/s. The ball is at a height of 120 ft.

sattari [20]

Answer:

The ball is at a height of 120 feet after 1.8 and 4.1 seconds.

Step-by-step explanation:

The statement is incomplete. The complete statement is perhaps the following "A ball is thrown vertically in the air with a velocity of 95 ft/s. What time in seconds is the ball at a height of 120ft. Round to the nearest tenth of a second."

Since the ball is launched upwards, gravity decelerates it up to rest and moves downwards. The position of the ball can be determined as a function of time by using this expression:

$y = y_{o} + v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}$

Where:

$y_{o}$ - Initial height of the ball, measured in feet.

$v_{o}$ - Initial speed of the ball, measured in feet per second.

$g$ - Gravitational constant, equal to $-32.174\,\frac{ft}{s^{2}}$ .

$t$ - Time, measured in seconds.

Given that $y_{o} = 0\,ft$ , $v_{o} = 95\,\frac{ft}{s}$ , $g = -32.174\,\frac{ft}{s^{2}}$ and $y = 120\,ft$ , the following second-order polynomial is found:

$120\,ft = 0\,ft + \left(95\,\frac{ft}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}$

$-16.087\cdot t^{2} + 95\cdot t -120 =0$

The roots of this polynomial are, respectively:

$t_{1} \approx 4.075\,s$ and $t_{2} \approx 1.831\,s$ .

Both roots solutions are physically reasonable, since $t_{1}$ represents the instant when the ball reaches a height of 120 ft before reaching maximum height, whereas $t_{2}$ represents the instant when the ball the same height after reaching maximum height.

In nutshell, the ball is at a height of 120 feet after 1.8 and 4.1 seconds.

8 0

3 years ago

The shape is composed of squares and quarter circles. Select all the expressions that represent its perimeter. (Select all that

Phantasy [73]

Answer:

91+14π

Step-by-step explanation:

The question is incomplete. Find the complete question attached.

From the diagram shown;

It contains 4 quarter circles which is equal to a circle.

Perimeter of a circle = 2πr

r is the radius = length of one side of the square =7

Perimeter of the circle = 2πr

Perimeter of the circle = 2π(7)

Perimeter of the 4 quarter circles = 14π

Also in the diagram, there are 13 sides of the square present.

Perimeter of the squares = 13×length of one side of the square (Sum of all the sides)

Perimeter of the squares = 13×7 =91

Perimeter of the figure = Perimeter of the 4 quarter circles + Perimeter of the squares

Perimeter of the figure = 91+14π

6 0

2 years ago

Read 2 more answers

What does the point (1994, 400) on the graph represent?

yuradex [85]

Answer: There are 400 tadpoles in the year 1994.

This is because any point is of the form (x,y) where in this case

x = year number

y = tadpole population number

So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.

In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.

From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.

5 0

3 years ago

A t-shirt launcher can launch 6 shirts in 30 minutes. What is the number of shirts per hour?

Ilya [14]

Answer:

12 shirts

Step-by-step explanation:

If a T-Shirt Launcher can launch 6 shirts in 30 minutes, that means it can launch 12 shirts in an hour, because there are 60 minutes in a hour, and 30 minutes is half os 60 minutes, so we just do 6 x 2 = 12.

6 0

2 years ago

Read 2 more answers

What's are the correct answers? (For all)50 points + brainliest answer

allsm [11]

1. the last one
2.the first one hope this helps.

6 0

3 years ago

Read 2 more answers