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
vekshin1
3 years ago
10

A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in

feet. How many seconds (to the nearest tenth) will it take for the ball to fall 215 ft.? Round to the nearest tenth, if necessary.
Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

s(t) =16t^2+32t

We can replace there s = 215 ft to get

215=16t^2+32t

Solving for the time t.

From the previous equation we can move all terms in one side to get

16t^2+32t-215=0

At this point we can solve for t using quadratic formula.

t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}

where a, b and c are the coefficients of the quadratic equation

at^2+bt+c=0

So we get

a=16\\b=32\\c=-215

Replacing on the quadratic formula we get

t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}

Using a calculator we get

t=-4.8 , t = 2.8

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

You might be interested in
Plz help.....................
777dan777 [17]
Would be the last answer because (n-3)times (n-3) is n^2-6n+9

6 0
3 years ago
Em um colégio,de 50 alunos ,40 gostam de sorvete de chocolate,35 gostam de sorvete de creme e 30 gostam dos dois sabores .Quanto
GarryVolchara [31]

Answer:

i do not speak ur language

Step-by-step explanation:

5 0
2 years ago
An object has a volume of 7cm³ and a mass of 56g. What is its density in g/cm³?
Nastasia [14]

Answer:8

Step-by-step explanation;Since you want to find the density but you already have the mass you do the inverse operation and divdie 56 by 7 and get 8.

5 0
3 years ago
Suppose the professor decides to grade on a curve. If the professor wants 16% of the students to get an A, what is the minimum s
vladimir1956 [14]
There isn't enough info to determine that, I believe. You would need an equation that would allow me to determine the minimum output for an A.
3 0
3 years ago
John went to dave and busters each game cost $3 what is the rate of change?
Darya [45]
The rate of change is 3 because each game costs $3 and the y-value will go up by 3 when the x-value goes up by 1. Hope this helps!
3 0
3 years ago
Other questions:
  • A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce and 1 3/4 cups of cheese. Its large
    6·2 answers
  • Solve the following system of equations:
    13·1 answer
  • How is a rational number converted to its decimal form?
    7·2 answers
  • Cameron and Cadena go out to eat for lunch. If their food and beverages cost $22.50 and there is a 9% meals tax. If Cameron and
    8·1 answer
  • NEED HELP ASAP!!!!!!!
    13·2 answers
  • Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64
    9·2 answers
  • The advertised price of a new car is dollars. The dealership is offering a $2000 rebate and a 10% discount off the price of the
    13·2 answers
  • Dillon made $27 in interest by placing $300 in a savings account with simple interest for 1
    14·1 answer
  • 9° TERMINO DE 7.10.13​
    12·2 answers
  • Find an equation of a line with slope -8 and y-intercept 8.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!