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

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.

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Step-by-step explanation:

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W=IH/V that is the final answer

Prove that:

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

=

tan 4A . cot A

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Answer:

sec 1A = tan 2A

Step-by-step explanation:

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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:

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

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Answer: 6.25^12

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

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Answer:

The plant grows approximately 1.25 in. per day.

Step-by-step explanation:

What’s the answer??????

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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.

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.

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

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Answers

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

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Answers

Answer:

1.29

Step-by-step explanation:

-12x3=-36

14x2=28

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I-1.29I

Answer:

0.428571428571

Step-by-step explanation:

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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
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Answer:

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Step-by-step explanation:

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

Use the conditional statement "If it is January, then there is snow." for questions 17 - 18.
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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

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?
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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

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Answers

Answer: 0.0337

Step-by-step explanation:

Answer:

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

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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...

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Answers

Answer:

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Step-by-step explanation:

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

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Answers

Answer:

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Step-by-step explanation:

   

Answer:

It is 9 dollars and 40 cents :)

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Answer:

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Answer:

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Step-by-step explanation:

What is 14/20 as a percent

Answers

The answer would be 70%

Remember 'bout :

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

Answers

Answer:

it should be 196 or =4x12−25x2+10x−4

Step-by-step explanation:

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

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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!

Rachel is a veterinarian. She charges $20 as a base and $10 for each animal that she vaccinates.
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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.

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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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Answer:

this sentence is grammatically incorrect

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Answer:

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Step-by-step explanation:

Have a good day/night :)

Brainliest pls?

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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

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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!!

20 POINTS AND 5 STARS

Answers

Answer:

C)      D)

Step-by-step explanation:

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

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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

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