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
Kryger [21]
3 years ago
13

a toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its heigh

t h at any given second t is modeled by the equation h=-16t^2+32t+48
Mathematics
1 answer:
sdas [7]3 years ago
6 0

Answer:

t = 2.11 seconds

Step-by-step explanation:

A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

h=-16t^2+32t+48

Let us assume that we need to find the time by it to reach the ground. It means h = 0

-16t^2+32t+48=0

The above is a quadratic equation. The value of t is given by :

t=\dfrac{-b\pm \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-b+ \sqrt{b^2-2ac} }{2a},\dfrac{-b- \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-32+ \sqrt{(32)^2-2\times (-16)(8)} }{2\times (-16)},\dfrac{-32-\sqrt{(32)^{2}-2\times(-16)(8)}}{2\times(-16)}\\\\t=-0.11\ s, 2.11\ s

So, it will take 2.11 seconds to reach the ground.

You might be interested in
There are 18 pieces of chalk. The ratio if chalk that is yellow to chalk that is not yellow is 1:2. How many more pieces of whit
katen-ka-za [31]
The amount of chalk are equal
5 0
3 years ago
Try it solve the equation<br> -3x - 6 = 6
Olin [163]

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>

3 0
3 years ago
Read 2 more answers
PLEASE HELP
balu736 [363]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Please show me step by step how to solve this problem 3(-8+4v)=8v ?
Nadusha1986 [10]
So we know that:
3(-8 + 4v) = 8v
To find v, first simplify the left hand side:
-24 + 12v = 8v
Then group the "v's" over to the right:
-24 = -4v
-6 = -v
So v = 6

Hope this helped
8 0
3 years ago
A plant grew 2cm everyday for "d" days. How much did it grow? (Expressions)
balandron [24]

on day one height=2cm

day 2 height = 4cm=2+2 cm

day 3 height =6 cm =4+2 cm

let height of plant after d days is given by H

so H = 2d cm

6 0
3 years ago
Other questions:
  • Evaluate this 3 times 9 plus 10 times 36/6
    12·1 answer
  • *50pts* TIMED TEST PLEASE HELP, WILL MAKE BRAINLIEST
    5·2 answers
  • Rearrange the formula A = \pi r ^ ( 2) for r
    6·1 answer
  • 9/2(8-x)+36=102-5/2(3x+24)
    5·2 answers
  • An athlete runs around a circular track. The track has a diameter of 200 feet. How many laps does she need to take to run a mile
    12·1 answer
  • I need help on both of those 4 problems
    8·1 answer
  • Solve (4x^2-1)(x^2+2)
    15·1 answer
  • 2/3 (24x − 9) + (4x − 7)
    5·2 answers
  • Neil has a bag of potatoes which weighs 25 kg. While putting them in the shelf, he tore the bag and hence 1850 g of potatoes fel
    6·1 answer
  • Please help
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!