A ball is thrown from 4 feet off the ground with a vertical velocity of

A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second. Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.

2 months ago

Solution 1

Guest Guest #1011
2 months ago
At maximum height, the velocity of the ball is zero. In other words, the ball is momentarily at rest at maximum height before  it starts falling down.
The following equation explains this scenario:

v=u-gt, but v = 0
0=u-gt => u = gt, u = 30 ft/s, g = 9.81 m/s^2 = 32.174 ft/s^2

t = u/g = 30/32.172 = 0.9324 seconds ≈ 1 second

Solution 2

Guest Guest #1012
2 months ago



Step-by-step explanation:

Using the motion formula: V= u - gt

At Max. Height, V=0, taking t=32ft/sec^2

Thus: 0 = 30 - 32t

32t = 30


t= 0.9375sec


it will take 0.9375seconds which is less than 1 second to reach maximum height, then the ball starts descending. Just after 1 sec, ball is below its maximum height and in downward motion.

📚 Related Questions

Ginger wanna join a gym.she goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthly fee of $30.if she belongs to the gym for one year then the 12th month is free.how much will a one year membership cost her?
Solution 1
100+30m from the last problem
430 dollars, which is highway robbery..
Choose as many answers as apply. An employee can legitimately claim the following as exemptions: A. family pet B. self C. dependents D. neighbor's cousin Al
Solution 1


An employee can legitimately claim the following as exemptions:

B. Self

C. Dependents

Step-by-step explanation:

We know that an employee can claim the health and medical insurance ( which is also known as Medicare and Social security deductions)  for himself or for himself, his/ her spouse and his family members or dependents.


An employee can legitimately claim the following as exemptions:

B.  Self

C. dependents.

Hence, option B and C are the correct options.

Solution 2
B is the answer hope i helped

If Kareem’s living room has an area of 225 square feet, how much will he spend to carpet his living room?
Solution 1

Answer: $ 568.99

Because 18.99+22 x 225/9 = 568.99

Solution 2

Answer: 568.99

Step-by-step explanation: your mom

suppose an investment of 6,200 doubles in value every 13 years. how much is the investment worth after 78 years?
Solution 1

First, you want to know how many times it'll double in value. So you figure out 78/13 which you'll end up with 6.

Then you'll want to multiply 6,200*2, as that would be doubling it. You'll want to take your answer and repeat until you've done it a total of six times. Your answer should be $396,800. (Please give me Brainliest!)

Complete the equation of the line through (-6,5) and (-3,-3) Use exact numbers. y=
Solution 1

The equation of the line passing through the points (-6,5) and (-3,-3) will be y = -(8/3)x - 11.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)

The points are given below.

(-6,5) and (-3,-3)

Then the equation of the line passing through the points (-6,5) and (-3,-3) will be

\rm (y + 3) = \left (\dfrac{-3-5}{-3+6} \right ) (x + 3)

Simplify the equation, then the equation of the line will be

y + 3 = -(8/3)(x + 3)

y = -(8/3)x - 8 - 3

y = -(8/3)x - 11

Then the equation of the line passing through the points (-6,5) and (-3,-3) will be y = -(8/3)x - 11.

More about the line passing through two points link is given below.



Solution 2
(-6,5) and (-3,-3) 
slope = (5+3)/(-6 + 3) = 8/-3 = -8/3

y = mx + b
b = y - mx
b = -3 - (-8/3)(-3)
b = -3 - 8
b = -11

y = -8/3 x - 11

hope it helps
A shipping company charges a flat rate of $7 for packages weighing five pounds or less, $15 for packages weighing more than five pounds but less than ten pounds, and $22 for packages weighing more than ten pounds. During one hour, the company had 13 packages that totaled $168. The number of packages weighing five pounds or less was three more than those weighing more than ten pounds. The system of equations below represents the situation. s+m+l=13 7s+15m+22l=168 s-l=3 Which matrix can be used to show the number of packages in the different weight classes during that hour?
Solution 1


The matrix equation would be

\left[\begin{array}{ccc}1&1&1\\7&15&22\\1&0&-1\end{array}\right] \times \left[\begin{array}{ccc}s\\m\\l\end{array}\right] =\left[\begin{array}{ccc}13\\168\\3\end{array}\right],

and the resulting matrix is


Step-by-step explanation:

We first start with what is called the coefficient matrix; it contains the coefficients of the variables in the system of equations.

The coefficients of the first equation are 1, 1 and 1; this will be the first row of the matrix.

The coefficients of the second equation are 7, 15 and 22; this will be the second row of the matrix.

The coefficients of the third equation are 1, 0 and -1 (0 because there is no variable m in the equation); this will be the third row of the matrix, and gives us the coefficient matrix


The next matrix in the equation will be the variable matrix.  It will contain the variables for the equation; for ours, it is s, m and l:


The last matrix in our equation will be the constant matrix, which has the values after the equals in each equation:


This gives us the equation:

\left[\begin{array}{ccc}1&1&1\\7&15&22\\1&0&-1\end{array}\right] \times \left[\begin{array}{ccc}s\\m\\l\end{array}\right] =\left[\begin{array}{ccc}13\\168\\3\end{array}\right]

To solve this, we find the inverse of the coefficient matrix and multiply it by the constant matrix:

\left[\begin{array}{ccc}s\\m\\l\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\7&15&22\\1&0&-1\end{array}\right] ^{-1} \times \left[\begin{array}{ccc}13\\168\\3\end{array}\right]

Using a graphing calculator to perform this, we get the result


This means the small contains 6 packages; medium contains 4; and large contains 3.

Solution 2

Should be the first one with elcholen reducing form shown, and sides going 6, 4, 3. Showing packages and them being multiplied by its value of each box to eqaul 168. 6 = s 4 = m 3 = L

The scatterplot shows the depth of water in swimming pools, y, based on the days after filling, x. graph What can you conclude from the graph? Check all that apply. The depth of the water in the swimming pool decreases over time. The data are clustered. There are no outliers in the data. In general, increased time does not affect the depth of the water in the swimming pool.
Solution 1

Answer: its A,B AND C

Step-by-step explanation:

Solution 2

Answer: A, B, and C.

Step-by-step explanation: I got the answer correct, hope this helps!

At Martina's auto shop, it takes her 15 minutes to do an oil change and 18 minutes to do a tire change. Let x be the number of oil changes she does. Let y be the number of tire changes she does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Martina can do in at most 3 hours ( 180 minutes).
Solution 1

You want to know how much she can do in 180 minutes

She can do an oil change in 15 minutes

She can do a tire change in 18 minutes

Based on this information you can make the inequality

15x + 18y  \leq  180

The answer is 15x + 18y \leq 180

Hope this helps!
Solution 2
15x + 18y ≤ 180 

It's at most 180 minutes so left side is 'less than or equal to 180'.
A survey of 1,000 people was done by New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people knew the name of the Congressman?
Solution 1
The answer is 20% of the 1000 people, as 100%-80%+20%. 1000 times 0.2 equals 200 people that knew the name.
What is the exact area of a circle having the diameter of 6in A:9 pie B: 36pie C: 6 pi D: 3pie
Solution 1
Area of circle = pi r^2
r = 6/2 = 3
A = pi (3)^2 = 9pi

A. 9 pi