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
Sholpan [36]
3 years ago
11

A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

he launch is given by h = −16t2 + 200t. How many seconds after the launch will the rocket be 350 ft above the ground? Round to the nearest hundredth of a second. (Enter your answers as a comma-separated list.)
Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

h=-16t^2+200t

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

350=-16t^2+200t

The last is a quadratic equation, which can be put in the form at^2+bt+c=0 and solved applying the formula:

t=\frac{-b+-\sqrt{b^2-4ac} }{2a}

So, let's put the equation on the form at^2+bt+c=0 adding 16t^2 and subtracting 200t to each side of the equation; the result is:

16t^2-200t+350=0

So, we note that a=16, b=-200, and c=350.

Then,

t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10

t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

You might be interested in
Tyrone used 15 centimeters of tape to wrap 5 presents. How many presents did Tyrone wrap if he used 42 centimeters of tape? Assu
Elan Coil [88]

Answer: 14 presents

Step-by-step explanation:

5 presents 42 cm tape

——————I-———————.

15 cm tape 1

= (5x42) /15 = 14 presents

4 0
3 years ago
What number is 100`000 more than seven hundred two thousand eight three
ANEK [815]

Answer:

802,083

Step-by-step explanation:

5 0
3 years ago
Catherine is using a spool of yarn to knit some items. She uses 14 3/8 yards of yarn to knit a scarf. The number of yards of yar
tresset_1 [31]

Answer:

17 5/8

Step-by-step explanation:

Thats the answer

7 0
3 years ago
Read 2 more answers
8th grade geometry please help
Alex777 [14]
Okay so the value of X is 9x^2/7
3 0
3 years ago
In the figure below, what is the value of x
kykrilka [37]

Answer:

<em>x = 49°</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

3 0
3 years ago
Other questions:
  • Write the equation of the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0.
    10·1 answer
  • Absolute value equation word problem?
    9·1 answer
  • What's the distance school and the library
    13·1 answer
  • of a parabolic arch and is to have a span of 100 feet. The height of the arch a distance of 40 feet from the center is to be 10
    14·1 answer
  • Marianne buys a house for $150,000, and the value of the house increases at a rate of 1.2% per year. How much will the house be
    15·1 answer
  • Suppose Ellie makes a lamb stew in a 13-quart pot. If the diameter of the bottom of the pot is 14 inches, how big is the circumf
    13·1 answer
  • Which of these forms should you use to file your tax return?
    15·2 answers
  • madeline takes her family on a boat ride. going through york canal, she drives 6 miles in 10 minutes. later she she crosses anot
    10·2 answers
  • Home skool or reg skool (whatever that is considered nowadays)
    9·2 answers
  • What is the slope of the linear function given the following table?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!