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
Charra [1.4K]
3 years ago
11

A ball is dropped off an office building that is 790 feet tall. Apply the function h(t)=-16t^2, where h(t) is the height of the

ball at the time t, and c is its initial height. Approximately how long did it take the ball to hit the ground
Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

This models the parabolic function

h(t)=-16t^2+v_{i}t+h_{i},

where h(t) is the height after the motion occurs, v_{i} is the initial upwards velocity, and h_{i} is the initial height from which the object was launched or dropped.  Because we do not have any upwards velocity when an object is dropped straight down, it is only affected by gravity.  Our function for this situation is

h(t)=-16t^2+790

To find when the object hits the ground, replace the h(t) with a 0, since the height of something when it hits the ground has no height at all.  Factor the quadratic for t, time.

0=-16t^2+790 and

0=-16(t^2-49.375)

By the Zero Product Property, either

-16 = 0 or t^2-49.375=0

Since -16 definitely does not equal 0, then

t^2-49.375=0 and

t^2=49.375

Taking the square root of both sides and only allowing for the principle (positive) root since time will never be negative, then

t=\sqrt{49.375} and

t = 7.03 seconds

You might be interested in
Help Me please
Novay_Z [31]
Multiply her answer by -6 and see if the result is -108
4 0
2 years ago
Read 2 more answers
SOMEONE ANSWER ASAP ILL EVEN CASHAPP YOU A DOLLAR!!!
devlian [24]

Answer:

2/3

Step-by-step explanation:

-2 and 4 are 6 away

4 and 13 are 9 away

Thus it is 6/9 or 2/3

4 0
3 years ago
Read 2 more answers
Mr lin has 10 baesball his gym make 4 teams
spin [16.1K]

Answer:

Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group

Step-by-step explanation:

It would be better if he had 5 teams because everyone will be able to be in a team

4 0
3 years ago
Hi please help me with this i will give extra points
anzhelika [568]

Answer:

8:50

Step-by-step explanation:

the table shows when the buss that goes from point a to point b arrives

8 0
3 years ago
Today Alice is five times as old as Todd in 10 years she will only be 3 times as old what is there age now
Ugo [173]

Answer:

30

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Using three or more complete sentences, describe a unitary government system.
    7·1 answer
  • What is the slope of -5/8 and goes through the point (2,-3)
    10·1 answer
  • Mr. wireless Costco we’re going to rent a limousine for a trip to the city the limo cost so hard for the night and $0.15 per mil
    13·1 answer
  • I don’t understand please all correct answers
    7·1 answer
  •  K is the midpoint of . if = 3x + 1 and     , find the length of
    14·1 answer
  • Can someone help me this question?
    11·2 answers
  • Please help me ASAP please
    9·1 answer
  • One angle of a right triangle measures 78°. What is the measure of the other acute angle?
    12·1 answer
  • The area of the figure below
    9·1 answer
  • Simplify the following expressions using the properties of exponents.<br> Please show your work.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!