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
kiruha [24]
2 years ago
10

If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height

h after t seconds is given by the equation h(t) = -16t^2 + 120t. How long will it take the rocket to return to the ground? Group of answer choices
Mathematics
1 answer:
german2 years ago
5 0

Answer:

Time = 7.5\ seconds

Step-by-step explanation:

Given

Equation:\ h(t) = -16t^2 + 120t

Initial\ Velocity = 160ft/s

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

h(t) = -16t^2 + 120t

becomes

0 = -16t^2 + 120t

Solve for t in the above equation

-16t^2 + 120t = 0

Factorize the above expression

-4t(4t - 30) = 0

Split the expression to 2

-4t = 0\ or\ 4t - 30 = 0

Solving the first expression

-4t = 0

Divide both sides by -4

\frac{-4t}{-4} = \frac{0}{-4}

t = \frac{0}{-4}

t =0

Solving the second expression

4t - 30 = 0

Add 30 to both sides

4t - 30+30 = 0+30

4t  = 30

Divide both sides by 4

\frac{4t}{4}  = \frac{30}{4}

t  = \frac{30}{4}

t = 7.5

Hence, the values of t are:

t =0 and t = 7.5

t =0 shows the time before the launching the rocket

while

t = 7.5 shows the time after the rocket returns to the floor

You might be interested in
Find the value of x and the value of y
steposvetlana [31]

Answer:

B.   x = 7, y = 4√2

Step-by-step explanation:

Drop a vertical from the upper left corner

This creates a rectangle and a 45-45-90 triangle

The bottom of the rectangle is 3

The legs of the triangle are 4

Therefor

x = 4 + 3

x = 7

For a 45-45-90 triangle

the hypotenuse = leg * √2

y = 4√2

4 0
2 years ago
What is the bases, height, perimeter, and the area from the trapezoid​?<br><br>please help me
Sergio039 [100]

Answer:

base : 30 cm

height : 20 cm

perimeter : 92 cm

Area          :  400 cm

Step-by-step explanation:

base : 30 cm

height : 20 cm

perimeter : 27 + 30 + 25 + 10

                 : 92 cm

Area : (1/2 ( a + b) ) x h

        : (1/2 ( 10 + 30) ) x 20

        : (20) x 20

        : 400 cm

3 0
2 years ago
Evaluate 3 – 5 · 2 + 8 ÷ 4 – 2 using the correct order of operations.
soldi70 [24.7K]
The answer is
C) -7

Multiply -5 by 2
Divide 8 by 4 :
3-10+2-2
Subtract 10 from 3 :
-7+2-2
Add -7 and 2 :
-5 - 2
Subtract 2 from -5:
-7

3 0
3 years ago
3(2x + 6) = 2(4x – 5)
maxonik [38]

Answer:

x = 14

....................              

6 0
3 years ago
Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangl
77julia77 [94]

Answer:

In order:

inscribed angle theorem

GJH

substitution

4 0
2 years ago
Read 2 more answers
Other questions:
  • WILL GIVE BRAINLIEST!!!
    14·2 answers
  • How many fourths are in two wholes? Use a fraction model to help you. Show two whole divided into four equal pieces. 2 dived by
    12·2 answers
  • Lila drives 129 kilometers round trip to work. how many kilometers does she drive in 31 days
    14·2 answers
  • Describe the similarities and differences in the solution of 2x -7 =15 and 2x - 7 &lt; 15
    15·1 answer
  • You are a landscaper and need to mulch 15 yards of plant beds. You have 20 bags of mulch and each bag covers 3 feet.How many bag
    6·1 answer
  • Math. I NEED HELP. PLZ. I don't understand!
    13·1 answer
  • Matthew has been observing 10 bacteria in a petri dish for his science class. If the bacteria population doubles every 12 hours,
    12·1 answer
  • A clothes dryer having a wattage of 5000 watts is used for 25 hours each month. How many kilowatt hours of electricity does the
    10·1 answer
  • -[tex]-8\9 + 1/5+ -8/15
    10·1 answer
  • Vincent's Restaurant bought 6 pounds of onions. The restaurant bought 5 1/3 times as much potatoes as onions. How many pounds of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!