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
Aleks04 [339]
3 years ago
12

A ball has been thrown into the air its distance from the ground is given by the function s(t)=-16t^2+96t+100

Mathematics
1 answer:
slega [8]3 years ago
8 0

Answer:

For t=3 sec the velocity change from positive to negative

Step-by-step explanation:

we have

s(t)=-16t^2+96t+100

This is the equation of a vertical parabola open downward (the leading coefficient is negative)

where

s(t) is the distance in feet

t is the time in seconds

We know that

To find out when the velocity change from positive to negative, we need to determine the turning point of the quadratic equation

The turning point of the quadratic equation is the vertex

so

Convert the quadratic equation into vertex form

s(t)=-16t^2+96t+100

Factor -16

s(t)=-16(t^2-6t)+100

Complete the square

s(t)=-16(t^2-6t+9)+100+144

s(t)=-16(t^2-6t+9)+244

Rewrite as perfect squares

s(t)=-16(t-3)^2+244

The vertex is the point (3,244)

therefore

For t=3 sec the velocity change from positive to negative

You might be interested in
In the equation below, solve for x:<br> a + 12x = m
rosijanka [135]

Answer:

x=m-a/12

the m-a should be over 12 as the numerator but it's hard to type it like that

Step-by-step explanation:

a+12x=m

12x=m-a

x=m-a/12

8 0
3 years ago
Find the distance between (-2,6) ,(4,8)
Yuri [45]

Answer:

\sqrt{40} OR 6.324555

Remember to round accordingly if not intended to be answered in square root form!

Step-by-step explanation:

Use the distance formula

5 0
3 years ago
What is the measure of the missing angle in this triangle<br> Yes
sladkih [1.3K]

Answer:

The measure of the missing angle is 25 degrees.

8 0
2 years ago
Read 2 more answers
Pls help. No files pls. Will give brainliest.
nordsb [41]

To find f(-20), first figure out which piece x = -20 fits with.

Since -20 < -12, x = -20 first in the domain used by the third piece.

For f(-20), treat this function as if it was just f(x) = 3x-7.

f(-20) = 3(-20) -7

         = -60 - 7

         = -67

6 0
2 years ago
Pls help me with this:(((((​
marishachu [46]

2: c

Step-by-step explanation:

3: a

by Supplementing each answer Into the equation

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find the quotient 81/93 divided by 31/45 divided by 76/96
    13·2 answers
  • Taylor purchased three types of items (bags of candy, picture frames, and some packs of stickers) from a store. The bags of cand
    9·2 answers
  • Describe how (23)(2-4) can be simplified. (3 and -4 are powers i dont have the knowledge to make the -4 and 3 tiny and stay by t
    12·2 answers
  • Five balls, numbered 1, 2, 3, 4, and 5, are placed in an urn. Two balls are randomly selected from the five, and their numbers n
    11·1 answer
  • consider a pyramid with a height 10 feet in a square base with side lengths 7 feet. How does the volume of the pyramid change if
    6·1 answer
  • State when the following equation and inequalities will be true and when they will be false.
    13·1 answer
  • Helpppp ASAP<br><br><br><br> PLEASEDEEEE
    9·1 answer
  • The first step in solving this problem is to _________________ on each side of the equation. LaTeX: \frac{1}{4}x\:=\:-101 4 x =
    5·1 answer
  • Find the point of intersection by graphing each of the following lines: x+y=4<br> x+2y=6
    8·1 answer
  • A rectangular box with a square base and no top is to have a volume of 108
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!