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
svet-max [94.6K]
3 years ago
7

The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui

lding with an initial velocity of 35 feet per second. At what time will the ball reach the ground (round answer to nearest hundredths)? O at 2.19 seconds at 0 seconds at 6.21 seconds at -4.02 seconds
Mathematics
1 answer:
mixer [17]3 years ago
4 0

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

s(t) = -16t^2+v_0t+s_0

Where,

s_0 = initial height of the object,

v_0 = initial velocity of the object,

Here,

s_0=400\text{ feet}

v_0=35\text{ feet per sec}

Hence, the height of the ball after t seconds,

s(t)=-16t^2+35t+400

When s(t) = 0,

\implies -16t^2+35t+400=0

t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}

t=\frac{-35\pm \sqrt{1225+25600}}{-32}

\implies t\approx -4.02\text{ or }t\approx 6.21

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

You might be interested in
Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo's equation is missing, as show
Tanya [424]

Answer:

The missing term is 3x

Step-by-step explanation:

Given

-(x - 1) + 5 = 2(x + 3) - _

Required

Find _

For proper identification of the parameters, represent _ with Z

So, the equation becomes

-(x - 1) + 5 = 2(x + 3) - Z

Open bracket (start from the left hand side)

-x + 1 + 5 = 2(x + 3) - Z

-x + 1 + 5 = 2x + 6 - Z

Solve like terms

-x + 6 = 2x + 6 - Z

Subtract 6 from both sides

-x + 6 - 6 = 2x + 6 - 6 - Z

-x = 2x - Z

Subtract 2x from both sides

-x - 2x = 2x - 2x - Z

-3x = -Z

Multiply both sides by -1

-3x * -1 = -Z * -1

3x = Z

Reorder

Z = 3x

Hence, the missing term is 3x

4 0
3 years ago
Read 2 more answers
What is 7/16 simplified
Georgia [21]
You cant simplify it . it is already simplified 
7 0
3 years ago
Read 2 more answers
There are 4 red marbles and 8 blue marbles in a bag. Jamie will randomly pick one marble and flip a coin. what is the probabilit
Yuri [45]

Answer:

d

Step-by-step explanation:


3 0
3 years ago
Guys help me ASAP<br><br><br><br><br><br> RANDOM ANSWERS WILL BE MODERATED! Thanks
GalinKa [24]
18) the answer is 3 because CD is a segment bisector that seperates both AB and BD into 2 congruent segments.And perpendicular lines form right angles.

19) the answer is 1 because the S represents AB is congruent to BD. Then, A represents the right angles: angle ADC and angle BDC. Lastly. S is represented by the common side which is segment CD.
7 0
3 years ago
An electrician sent Bonnie an invoice in the amount of 'a' dollars for 6 hours of work that was done on Saturday. The electricia
Mazyrski [523]

Answer:

(a-f)/6 = r

Step-by-step explanation:

The total Bonnie must pay is the weekend fee plus the hourly rate times the hours worked

Cost = weekend fee * hourly rate* hours

hours = 6

weekend fee =f

hourly rate = r

Cost = a dollars

Substituting in what we know

a = f+ 6r

We want to solve for r

Subtract f from each side

a-f =f-f +6r

a-f = 6r

Divide each side by 6

(a-f)/6 = 6r/6

(a-f)/6 = r

4 0
3 years ago
Other questions:
  • Nia has $19.50 to ride the subway around New York. It will cost her $0.75 every time she rides. Identify the dependent variable
    10·1 answer
  • Write an expression to represent: Nine minus the quotient of two and a number x.
    10·2 answers
  • This graph displays a linear function. What is the rate of change?
    15·1 answer
  • Can someone answer these please.
    9·1 answer
  • Find the 8th term in the geometric sequence 5,-15, 45...
    13·1 answer
  • Tricia is building a rectangular patio.The patio will be 108 bricks wide and 19 bricks long. she has 2,000 bricks. does she have
    15·1 answer
  • It is 2,949 miles round trip to Craig's aunt's house.
    12·1 answer
  • Fill in each box below with an integer or a reduced fraction.
    10·1 answer
  • Can u pls help me with this question ​
    8·1 answer
  • &lt;) = 6, find x.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!