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
Free_Kalibri [48]
4 years ago
7

A toy rocket is launched straight up into the air with an initial velocity of 60ft/s from a table 3 ft above the ground. If acce

leration due to gravity is -16ft/s^2, approximately how many seconds after the launch will the toy rocket reach the ground?

Mathematics
1 answer:
Sav [38]4 years ago
5 0
For this case we have the following equation:
 h (t) = at ^ 2 + v * t + h0
 Substituting values we have:
 h (t) = - 16 * t ^ 2 + 60 * t + 3
 We equate the equation to zero:
 -16 * t ^ 2 + 60 * t + 3 = 0
 We look for the roots of the polynomial:
 t1 = -0.04935053979258153
 t2 = 3.7993505397925817
 We are left with the positive root and round:
 t2 = 3.8 s
 Answer:
 
t = 3.8 s
 
option 3
You might be interested in
If the perimeter of the regular pentagon is 75 cm what is the length of each side
mariarad [96]

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

5 0
3 years ago
So Brandon has $987.00. She deposits $247.78. Then she cashes a check of 600.00 To a community beach for some new supply's. how
Alex73 [517]
Brandon would end up having $1,174.78 left over
5 0
3 years ago
Read 2 more answers
HELP DUE TOMORROW ASAP BAINLYEST
Tresset [83]

Answer:

B is the correct answer

Step-by-step explanation:

3/12 = 1/4 = 0.25

5 0
3 years ago
Read 2 more answers
A new DVD is available for sale in a store one week after its release. The cumulative revenue,
ratelena [41]

Answer:

f(2) = $180.22

f'(2) = $130.00/week

f'(2)/f(2) = 72.13%

Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of $130 per week,  or 72.13% per week.

Step-by-step explanation:

The revenue from sales, in dollars, as a function of time, in weeks, is given by:

f(t)=260ln(t)

After two weeks (t=2), the revenue from sales is:

f(2)=260ln(2)\\f(2) = \$180.22

The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:

f'(t)=\frac{d}{dt} 260ln(t)\\f'(t) = \frac{260}{t}\\f'(2) = \frac{260}{2}=\$130.00/week

The relative rate of change is:

\frac{f'(2)}{f(2)}=\frac{130}{180.22}=0.7213=72.13\%

Therefore, Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of $130 per week,  or 72.13% per week.

5 0
4 years ago
What is the volume of a sphere with a diameter of 5 in? Round your answer to the nearest hundredth of a cubic inch.
Anettt [7]

if the sphere has a diameter of 5, then its radius is half that, or 2.5.

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}

3 0
3 years ago
Other questions:
  • John starts a saving account with $100. Every week he adds $6 to his account. Which equation can be used to determine the number
    9·1 answer
  • This year Jack will be 2 years from being twice as old as your sister Jen. The sum of Jack's age and three times Jen's age is 66
    5·1 answer
  • A truck delivers 478 dozen eggs to stores in one day. Write an expression that finds the number of eggs the truck delivers in on
    15·2 answers
  • - Algebra 1~ solving inequality word problems-
    12·1 answer
  • Range of f(x)=-x+5 with domain of [-3,2] in the same notation as the domain.
    9·1 answer
  • What is <img src="https://tex.z-dn.net/?f=53%2B%283x%2B7%29" id="TexFormula1" title="53+(3x+7)" alt="53+(3x+7)" align="absmiddle
    12·2 answers
  • 3x+2(x+1) what is it
    5·2 answers
  • Can any one help me on this? this is on my math test due at 11:59.
    9·2 answers
  • Factorise 6-12x please help me
    7·1 answer
  • Right ΔABC has legs of lengths 4 ft and 7 ft. What is the length of the triangle’s hypotenuse?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!