![devo7420](/avatars/46207.jpg)
devo7420
31.01.2020 •
Mathematics
The function h(t) = –16t^2 + 96t + 6 represents an object projected into the air from a cannon. the maximum height reached by the object is 150 feet.
the possible answers are :
2 seconds
3 seconds
6 seconds
9 seconds
Solved
Show answers
More tips
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- F Food and Cooking Discover How to Properly Prepare Dough for Rasstegai...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Mathematics
- M Mathematics Five chicken nuggets have 135 calories. How many calories are in 9 chicken nuggets...
- M Mathematics (m • n)-1 = What is the answer to this question?...
- M Mathematics Shaquana s math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the...
- M Mathematics Use the substitution method to solve this system of equations....
- M Mathematics Please answer the following question...
- M Mathematics Trdcvbnkliu7y6trfdcv nh...
- M Mathematics TV is a midsegment of Triangle UWX. If WX = y + 8 and TV = y - 22, what is the value of y?...
- M Mathematics 3x^2 - 18x - 48 = 0, how do I do this with the completing the square strategy?...
- M Mathematics In a group of 46 pupils, 5 play the flute only. 14 play the piano only. 12 play both instruments. A student is chosen at random. What is the probability the student...
- M Mathematics Suppose that we flip a fair coin until either it comes up tails twice or we have flipped it six times. What is the expected number of times we flip the coin...
Ответ:
the object to reach its maximum height ?" ?
If you've started pre-calculus, then you know that the derivative of h(t)
is zero where h(t) is maximum.
The derivative is h'(t) = -32 t + 96 .
At the maximum ... h'(t) = 0
32 t = 96 sec
t = 3 sec .
If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.
In that case, the question GIVES you the maximum height.
Just write it in place of h(t), then solve the quadratic equation
and find out what 't' must be at that height.
150 ft = -16 t² + 96 t + 6
Subtract 150ft from each side: -16t² + 96t - 144 = 0 .
Before you attack that, you can divide each side by -16,
making it a lot easier to handle:
t² - 6t + 9 = 0
I'm sure you can run with that equation now, and solve it.
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.
(Funny how the two widely different methods lead to the same answer.)
Ответ: