If an object is projected upward from ground level with an initial velocity of 48ft per​ sec, then its height in feet after t seconds is given by ​s(t)= -16t^2+48t. Find the number of seconds it will take to reach its maximum height. What is this maximum​ height? The object will take __ ​second(s) to reach its maximum height. (Simplify your​ answer.) The maximum height reached by the object is __ feet. (Simplify your​ answer.)

Answers

Answer 1

Answer:

t = 1.5 s and s(t) = 36 feet

Step-by-step explanation:

The height reached by an object as a function of time t is given by :

[tex]s(t)= -16t^2+48t[/tex] ...(1)

t is in seconds

To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]

It will take 1.5 seconds to reach its maximum height.

Put t = 1.5 s in equation (1), such that,

[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]

The maximum height reached by the object is 36 feet.


Related Questions

Nico earns $12.50 per hour as a math tutor. Show that the relationship between the amount he earns and the number of hours he tutors is a proportional relationship. What is the constant of proportionality (k). Then write the equation for the relationship.

Answers

Answer:

12.50k

Step-by-step explanation:

I came to this answer as k is the number of hours, and 12.50 is how much per hour.

Write the linear equation in slope-intercept form and simplify.
5x – 3y = -19

Answers

Answer:

y = 5/ 3 x + 19/ 3

Step-by-step explanation:

Slope-intercept form,  y = m x + b .

Answer:

y=5/3x+6 1/3

Step-by-step explanation:

To get into y-intercept form you need to get y alone...

5x-3y=-19    subtract the 5x

-3y=-5x-19     divide by -3

y=5/3x+19/3    simplify

y=5/3x+6  1/3

What is the slope of a line perpendicular to the line whose equation is 2x+8y -64 Fully reduce your answer.

Answers

Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!

Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8

what is 30 divided by 890

Answers

Answer: 0.0337

Step-by-step explanation:

Answer:

The answer is 3/89 as a fraction or 0.03370786517 as a decimal

Please help me solve step by step

solve V = lwh for w

1.

2.

3.

4.

Answers

W=IH/V that is the final answer

Tommy can exchange 8 euros for 11 dollars.
At this rate, how many dollars can Tommy get with 12euro

Answers

Answer:

9 dollars and 40 cents

Step-by-step explanation:

   

Answer:

It is 9 dollars and 40 cents :)

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?
A.
3 5/6 yards
B.
3 3/4 yards
C.
2 3/8 yards
D.
1 1/6 yards

Answers

Answer:

A. 3 5/6 yards

Step-by-step explanation:

..........

The answer is A. 3 5/6. Please mark as brainliest and like cause I’m trying to level up and if u need a explanation let me know

One night a theater sold 548 movie tickets. An Adult’s ticket costs $6.50 and a child’s ticket cost $3.50. In all $2881 was taken in. How many of each kind of ticket were sold?​

Answers

Step-by-step explanation:

let x be the number of adults and y the number of childrens

x+y=548 people because thats the whole number of sold tickets

and

6.50*x+3.50*y=2881 dollars in total

let separate x from the first formula

x=548-y

and replace it at the second equation

6.50*(548-y)+3.50y=2881

6.50*548-6.50y+3.50y=2881

3562-3y=2881

3y=681

y=227

so x=548-y=548-227=321

there were sold 321 adult tickets and 227 child's tickets.

Use the conditional statement "If it is January, then there is snow." for questions 17 - 18.
17. Identify the hypothesis:
18. Identify the conclusion:​

Answers

Answer:

Hypothesis: It is January

Conclusion:  There is snow

Step-by-step explanation:

COnditionals are in the form If p, then q.

P is the hypothesis.

Q is the conditional.

If (It is January), then (there is snow).

If and then are not included in the hypothesis and conclusion, respectively.

Hypothesis: It is January

Conclusion: There is snow

What is Hypothesis and Conclusion ?

The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis. Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.

Conditionals are in the form if P, then Q.

P is the hypothesis.

Q is the conclusion.

If It is January, then there is snow.

Read more about Hypothesis and Conclusion at:

https://brainly.com/question/5497883

#SPJ2

what is 3n-22= -20​

Answers

Answer:

n = 2/3

Step-by-step explanation:

3n - 22 = -20

Add 22 to both sides

-20 + 22 = 2

3n = 2

Divide both sides by 3

2 / 3 = 2/3

n = 2/3

Let me know if I've done something wrong :)

Answer:

[tex]n = \frac{2}{3}[/tex]

Step-by-step explanation:

Add 22 to each side, so it now looks like this: 3n = 2Divide each side by 3 to cancel out the 3 next to n. It should now look like this: [tex]n = \frac{2}{3}[/tex]  

I hope this helps!

what is 25,000,000 x 25,0000 = what

Answers

Answer: 6.25^12

Step-by-step explanation:

20 POINTS AND 5 STARS

Answers

Answer:

C)      D)

Step-by-step explanation:

What is the product of |(−12)3 ÷(14)2|

Answers

Answer:

1.29

Step-by-step explanation:

-12x3=-36

14x2=28

-36/28=-1.29

I-1.29I

Answer:

0.428571428571

Step-by-step explanation:

|-36/84|

|-0.428571428571|

0.428571428571

A particular toddler has an average nap of 2 and half hours. Nap time can vary by about 15 minutes. Write and solve an absolute value inequality that represents this situation.

Answers

Step-by-step explanation:

Simplify: (7xy5)2 (I just forget what to do)​

Answers

Answer:

49x^2 y^10

Step-by-step explanation:

Step 1- 7^2 * x^2 (y^5)^2

Step 2- 49x^2 7 ^5*2

Step 3- 49x^2y^10

A number "s" is subtracted from seven. When the result is divided by three, the quotient is two. What is the number?​

Answers

Answer:

13.

Step-by-step explanation:

Here's the equation you can write:

s-7/3=2

s-7=6

s=13

|x| +6>8 pls help its due by midnight

Answers

Answer:

x< -2 or x>2

Step-by-step explanation:

subtract 6 from both sides to get |x|>2.

From here, we know that x can either be negative or positive.

The positive version will just be the equation itself, or x>2

The negative version is that equation flipped, or x<-2

Answer:

Step-by-step explanation:

Move the constant to the right and then calculate then separate into your possible cases find the intersection then find the union

Rachel is a veterinarian. She charges $20 as a base and $10 for each animal that she vaccinates.
Let x be the number of animals vaccinated and y be the total amount charged. Write the equation.

Answers

Answer:

Step-by-step explanation:

y = total number charged.

x = number of animals vaccinated.

If she charges $20 as a base, this means it is a constant value.

She also charges $10 for each animal vaccinated, this can be written as 10x.

Therefore the equation for the total number charged (y) can be written as:

Total amount charged = $20 + $10 for every animal vaccinated.

y = 20 + 10x

what is 234 divided by 21 plz help

Answers

Answer:

11 r 3

Step-by-step explanation:

I think this the  answer not too. Hope this helps u.

Please help me I actually don’t know the answer

Answers

Answer:

the % sign on 3 thats true

Answer:

2. C, D, and A

3. True

Step-by-step explanation:

What’s the answer??????

Answers

700

Hope this helps ;)
Please mark me as the Brainliest.

Answer:

720 gallons

Step-by-step explanation:

First, find how many gallons are cleaned per hour.

You can use a ratio:

36 gallons  =   x gallons

1/4 hour            1 hour

Cross multiply:

36 (1) = 1/4x

36 = 1/4x

(36 = 1/4x) (4/1)

144 = x

x = 144

Then, use this info to find how many gallons per 5 hours.

You can use a ratio:

144 gallons  =   y gallons

   1 hour              5 hour

Cross multiply:

144 (5) = 1y

720 = y

y = 720

There are 720 gallons cleaned per 5 hours.

The gravitational potential energy of an object is given by the formula P = mgh.

Which equation is correctly solved for the height, h?

h = P + mg
h = P - mg
h = P/mg
h = Pmg

Answers

Answer:

c

Step-by-step explanation:

....................

What is 14/20 as a percent

Answers

The answer would be 70%

Remember 'bout :

Percent is /100

So :

14 ×5 70

-------- = ----- -

20×5 100

70 %

Im sorry if im wrong

HaEeiiekekekekekek HELP PLEASS

Answers

Answer:

She could arrange the books based on their number. She could start from the smallest number and then move onto the biggest number .  

Step-by-step explanation:

Hrhdldkxbdmskshd dahtjfvcjcjc

Answers

Answer:

this sentence is grammatically incorrect

lol

Answer:

Thanks for the points luv

Step-by-step explanation:

Have a good day/night :)

Brainliest pls?

Prove that:

( sec 4A - 1 ) / ( sec 2A - 1 )

=

tan 4A . cot A

Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help

Answers

GangbbsnnanMmajajajnqj

Answer:

sec 1A = tan 2A

Step-by-step explanation:

BABAOEY

4x5x6x-31x2+10x1+6x2-4=

Answers

Answer:

it should be 196 or =4x12−25x2+10x−4

Step-by-step explanation:

CORRECT ANSWER WILL BE MARKED BRAINLIEST!

Find the constant rate of change for the representation.

Jazmina brought home a plant. She kept record of the plant's height in her journal over the summer. The following are a few of her journal entries:

Day 3: 15.75 inches Day 6: 19.5 inches

Day 10: 24.5 inches Day 11: 25.75 inches

Day 16: 32 inches Day 21: 38.25 inches

Answers

Answer:

The plant grows approximately 1.25 in. per day.

Step-by-step explanation:

Construction of segments angles and bisectors

What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r?

Answers

Answer:

What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r? Drag the steps and drop them in order from start to finish. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

Step-by-step explanation:

Answer:

1. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

2. Place the point of the compass on point Y and draw an arc that intersects lines r and s. Label the intersections as points M and N.

3. Without changing the width of the compass opening, place the point of the compass on point X and draw an arc that intersects line s. Label the intersection as point P.

4. Place the point of the compass on point M and open it to width MN.

5. With the compass opening set to width MN, place the point of the compass on point P and draw an arc that intersects the arc that was drawn from point X. Label the intersection of the arcs as point Z.

6. Use the straightedge to draw XZ.

Step-by-step explanation:

Verified correct with test results!!

subtraction property of equality​

Answers

It tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
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