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
Snowcat [4.5K]
2 years ago
13

A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground with an initial velocity of 88 feet pe

r second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t) - 16^2 + 88ft +9. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at ____ second(s) after launch.
(Simplify your answer.)
Mathematics
1 answer:
TEA [102]2 years ago
7 0

Answer:

Step-by-step explanation:

The position function for this is:

s(t)=-16t^2+88t+9. We can use this equation to find the position (or height) of the rocket at ANY TIME during its flight. I could find out the height of the rocket at 3 seconds by plugging in a 3 for t and solving for s(t); I could find the height of the rocket at 12 seconds by plugging in a 12 for t and solving for s(t), etc.

The first derivative of position is velocity:

v(t) = -32t + 88.

If we are looking for the time the rocket reaches it max height, we need to remember from physics class that this happens when the velocity of the object is at 0. We set the velocity equation equal to 0 then and solve for t:

0 = -32t + 88 and

-88 = -32t so

t = 2.75 seconds. This means that 2.75 seconds after the rocket is launched, it reaches its max height. In order to find what that max height is we plug 2.75 into the position equation for t and solve:

s(2.75)=-16(2.75)^2+88(2.75)+9 to get that

s(2.75) = 130

The max height is 130 feet and it reaches this point at 2.75 seconds into its motion.

You might be interested in
Number six on the page
Mekhanik [1.2K]
A square has the same length on all of it's sides. The area of a square is side times side. So it's 2.2×2.2=?
7 0
3 years ago
Which calculation IS equivalent to 12 x (24 + 17)?
Nitella [24]

The answer is d 41 X 12= 492

Step-by-step explanation:

12 (12 + 17)

12(41)

= 492

5 0
2 years ago
Factor -y - 8.<br> Please hurry it’s timed
max2010maxim [7]

Answer:

need more info

Step-by-step explanation:

3 0
2 years ago
Two last help with math please and thanks!
12345 [234]
1st problem:
Use the Pythagorean theorem:
a^2+b^2=c^2
49+361=c^2
c^2=410
c=20.24
The answer is 20m

2nd problem:
First calculate the height using the Pythagorean theorem:
a^2+b^2=c^2
20^2+b^2=625     (i got 20 {radius} by half-ing the base edge length)
400+b^2=625
b^2=225
b=15

Next, solve for the volume:
V=a^2*h/3
V=40^2*15/3
V=1600*5
V=8000

The answer is the second choice or B.

5 0
3 years ago
Read 2 more answers
So what y’all know about this???
11111nata11111 [884]

Answer:

1.052

Step-by-step explanation:

Add 1 to the percent increase.

1 + 5.2% = 1 + 5.2/100 = 1 + 0.052 = 1.052

Answer: 1.052

4 0
2 years ago
Other questions:
  • Find the equation of a line passing through the given point and perpendicular to given equation.
    11·1 answer
  • E is the midpoint of DF. IF DE = x + 5 and DF = 3x + 2, what is DF?
    13·2 answers
  • Drag the tiles to the correct boxes to complete the pairs.
    9·1 answer
  • Can someone pls help me
    9·1 answer
  • What is 8-8 to the power of -1 ?
    14·1 answer
  • Which measure is equivalent to 18,000 s?
    13·2 answers
  • 3. Remember the distributive law: 2(36) = 2(30 + 6) = (2 x30) + (2 X 6) = 60 + 12 = 72 Use this law to solve: 2x(x+6 )​
    14·2 answers
  • Pls help :( I’m so stuck in this
    6·2 answers
  • Consider the following prisms, whose bases are both squares.
    7·2 answers
  • -8 + 4 is equivalent to?<br><br> -12<br> 12<br> -4<br> 4
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!