1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ber [7]
3 years ago
10

Jason jumped of a cliff into the ocean . His height as a function off time could be models as h(t)=16tsquared + 16t + 480 where

t is the time in seconds and h is height in feet. How long did it take Jason to reach his maximum height
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

I see that you are in high school, and I'm hoping that you've been introduced
to differential calculus, because I don't know how to answer this question without
using it.

We're told that Jason's height above the water is  <em>H(t) = -16t² + 16t + 480 .</em>
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)

In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.

         V = -32 t + 16

At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.

                                           0 = -32t + 16

Add  32t  to each side:    32t = 16

Divide each side by  32:    <em>  t = 1/2 second</em>

His height at that instant is     H(0.5) = -16(0.5)² + 16(0.5) + 480 =

                                           <em>4-ft above the cliff,  484-ft above the water</em>,

and then he begins falling from that altitude.

The duration of his dive is      484 = 16 t²
                                                   t = √(484/16) = <em>5.5 seconds</em>

and he hits the water at      V = a t = (32) x (5.5) = 176 ft/sec = <em>exactly 120 mph </em>

Jason was good man ... a good student, and always kind to everyone he met.
He will certainly be missed.


You might be interested in
6x^2 - 2 and 6x^2 + 2
AlexFokin [52]
2+2= 4
Easy Peary leman squeaky
Good
7 0
3 years ago
Read 2 more answers
Estimate the sum 5.89 7 1/12​
Agata [3.3K]

Answer:

13

Step-by-step explanation:

Estimate 5.89 to 6.

5.89 ≈ 6

Estinate 7 1/12 to 7.

7.083 ≈ 7

Estimate the sum.

7 + 6 = 13

3 0
3 years ago
Read 2 more answers
HELP ASAP!!!!!!!!!!!!WILL MARK BRAINLIEST!!!!!!! THANK YOU&lt;3&lt;3
Leto [7]

Answer:

x= 3/5

Step-by-step explanation:

SOH-CAH-TOA

You have the adjacent and hypotenuse so you will use Cosine

cos=adj/hyp

adj=3

hyp=5

3/5 = cos (or theta)

5 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
azamat

By the Pythagorean theorem,

a^{2}+12^{2}=13^{2}\\\\a^{2}+144=169\\\\a^{2}=25\\ \\ a=\boxed{5}

4 0
2 years ago
For which of the following compound inequalities is there no solution?
Alexxx [7]

Answer: -4m-10< -22 and -8>22

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • if two of these congruent angles have the same degree measure and Angle1 is (3× + 10) degrees and the Angle 2 is (5× - 4) degree
    15·1 answer
  • Ariel deposited $100 into a bank account. Each Friday she will withdraw 10% of the money in the account to spend. Ariel thinks h
    14·1 answer
  • (3 pt)
    15·1 answer
  • A mint produces 150000 souviner coins each year. In a random sample of 400 coins, 3 have a misprint. Predict the number of coins
    9·1 answer
  • Please help me with this question I’m stuck going to get this right because it’s a quiz
    14·1 answer
  • (√x+1/√x)^2find dy/ dx and substitute 2 in dy/ dx
    10·1 answer
  • Can somebody help me with this problem
    13·2 answers
  • What is 5 3/5 written as a decimal
    6·1 answer
  • How many ounces are there in 13.5 pounds? Answer without units.
    13·1 answer
  • Convert from Decimal Notation to Scientific Notation
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!