##### solving a word problem using a quadratic equation with irrational roots

 Mathematics Tutor: None Selected Time limit: 1 Day

A ball is thrown from an initial height of

meter with an initial upward velocity of
. The ball's height
(in meters) after
seconds is given by the following

h=1 plus  25 t subtract 5t exponent 2

Find all values of
for which the ball's height is
meters.
Apr 30th, 2015

See attached file.

Hope it helps!

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

Apr 30th, 2015

yes it helped very much could you also help me with this ?

A model rocket is launched with an initial upward velocity of

202/fts

. The rocket's height

h

(in feet) after

t

seconds is given by the following.

h=202t-16t2

Find all values of

t

for which the rocket's height is

82

feet.

Apr 30th, 2015

Put 82 in for h

82 = 202t - 16 t^2

subtract 82 and put it in the right form:

16t^2 - 202t + 82 = 0

To make the math easier, we can divide everything by 2

8t^2 - 101t + 41 = 0;  that gives us a=8, b=(-101), and c = 41 for the quadratic formula.

Apr 30th, 2015

that confuses me a bit

Apr 30th, 2015

Okay,

Which part was confusing?

Apr 30th, 2015

How do you get the decimal

Apr 30th, 2015

Plug the numbers (a, b, and c) into the quadratic formula and solve.

Apr 30th, 2015

okay so i got 12.205 and 0.4199 could you help me round it to the nearest hundreths and check if its right first please

Apr 30th, 2015

you there ?

Apr 30th, 2015

Yes, I'm here.  Let me check...

Apr 30th, 2015

I got 13.02 and -0.39  (however, the negative value will not work in this case.)

Apr 30th, 2015

could you help me set it up to get the right number for the square root cause i got -751 with positive 38 but with -38 i got 769 i confuse my signs when im supposed solve the 4*ac part

A ball is thrown from a height of

38

meters with an initial downward velocity of

3/ms

. The ball's height

h

(in meters) after

t

seconds is given by the following.

h=38−3t-5t2

How long after the ball is thrown does it hit the ground?Round your answer(s) to the nearest hundredth.

Apr 30th, 2015

I'm sorry, I am in the middle of something right now. I cannot help with any additional problems at this time.

Apr 30th, 2015

okay thank you

Apr 30th, 2015

...
Apr 30th, 2015
...
Apr 30th, 2015
Dec 7th, 2016
check_circle
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
##### solving a word problem using a quadratic equation with irrational roots

 Mathematics Tutor: None Selected Time limit: 1 Day

A ball is thrown from an initial height of

meter with an initial upward velocity of
. The ball's height
(in meters) after
seconds is given by the following

h=1 plus  25 t subtract 5t exponent 2

Find all values of
for which the ball's height is
meters.
Apr 30th, 2015

See attached file.

Hope it helps!

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

Apr 30th, 2015

yes it helped very much could you also help me with this ?

A model rocket is launched with an initial upward velocity of

202/fts

. The rocket's height

h

(in feet) after

t

seconds is given by the following.

h=202t-16t2

Find all values of

t

for which the rocket's height is

82

feet.

Apr 30th, 2015

Put 82 in for h

82 = 202t - 16 t^2

subtract 82 and put it in the right form:

16t^2 - 202t + 82 = 0

To make the math easier, we can divide everything by 2

8t^2 - 101t + 41 = 0;  that gives us a=8, b=(-101), and c = 41 for the quadratic formula.

Apr 30th, 2015

that confuses me a bit

Apr 30th, 2015

Okay,

Which part was confusing?

Apr 30th, 2015

How do you get the decimal

Apr 30th, 2015

Plug the numbers (a, b, and c) into the quadratic formula and solve.

Apr 30th, 2015

okay so i got 12.205 and 0.4199 could you help me round it to the nearest hundreths and check if its right first please

Apr 30th, 2015

you there ?

Apr 30th, 2015

Yes, I'm here.  Let me check...

Apr 30th, 2015

I got 13.02 and -0.39  (however, the negative value will not work in this case.)

Apr 30th, 2015

could you help me set it up to get the right number for the square root cause i got -751 with positive 38 but with -38 i got 769 i confuse my signs when im supposed solve the 4*ac part

A ball is thrown from a height of

38

meters with an initial downward velocity of

3/ms

. The ball's height

h

(in meters) after

t

seconds is given by the following.

h=38−3t-5t2

How long after the ball is thrown does it hit the ground?Round your answer(s) to the nearest hundredth.

Apr 30th, 2015

I'm sorry, I am in the middle of something right now. I cannot help with any additional problems at this time.

Apr 30th, 2015

okay thank you

Apr 30th, 2015

...
Apr 30th, 2015
...
Apr 30th, 2015
Dec 7th, 2016
check_circle
user
TYPE: SINGLE_QUESTION

The text contains a single mathematical question related to solving a quadratic equation to find the time values when a ball's height is 82 feet. However, the answer to this specific question is not provided in the text. The text does provide a similar example and some guidance on how to approach the problem, but the final solution for the 82 feet height is not given.
TYPE: SINGLE_QUESTION