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
kondaur [170]
3 years ago
7

A particle moves along a line with a velocity v(t)=t2−t−6, measured in meters per second. Find the total distance the particle t

ravels from t=0 seconds to t=4 seconds.
Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

10.67 m

Step-by-step explanation:

Velocity is given as;

v(t) = t² − t − 6

To get the distance, we will integrate the velocity equation.

x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t

Thus, from t=0 seconds to t=4 seconds., we have;

(t³/3) - (t²/2) - 6t between 0 and 4.

Thus;

Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]

Total distance = (64/3) - 8 - 24 = -10.67 m

Distance can't be negative and so we take the absolute value which is 10.67 m

You might be interested in
There are 15 people on a basketball team, and the coach needs to choose 5 to put into
snow_lady [41]

Answer:

The coach can do this in 3,003 ways

Step-by-step explanation:

Here, the coach needs to select a team of 5 from a total of 15 players

Mathematically, the number of ways this can be done is simply 15 C5 ways

Generally, if we are to select a number of r items from n items, this can be done in nCr ways = n!/(n-r)!r!

Applying this to the situation on ground, we have;

15C5 = 15!/(15-5)!5! = 15!/10!5! = 3,003 ways

3 0
3 years ago
Write the following statement in if-then form.<br><br> All cats chase mice.
baherus [9]
If cats like playing with mice then they will chase them
7 0
3 years ago
Which system is equivalent y=-2x^2 y=x-2
german
The wording of your question suggests that there were answer choices.  Mind sharing them?

The system   <span>y=-2x^2 y=x-2 would be best written as:

</span><span>y=-2x^2 
y=x-2                  If you subst. x-2 for y in the first equation, you'll get:
                           x-2 = -2x^2,   or 2x^2 + x - 2 = 0.
                           </span>
7 0
3 years ago
Read 2 more answers
Y=−4(x+2) ^2 −1. Graph the equation
Kitty [74]

Answer:

4x^2+15

Step-by-step explanation:

1. multiply whole parenthesis by power of 2

2. gets you 4(x^2+4)-1

3.Multply and it gets you 4x^2+16-1 so it would be 4x^2+15 for your answer

4. throw that into your calculator and make sure its not on radian mode and then press graph

3 0
2 years ago
Someone please help me. How do you find y
Schach [20]

X and Y are vertical angles, which mean they are the same.

The 3 inside angles need to equal 180 degrees, so solve for X:

X = 180 - 35 - 65 = 80 degrees.


Y = 80 degrees.

6 0
3 years ago
Other questions:
  • Study the Proof Given.
    8·1 answer
  • Lin and Jen each thought of a number. Lin thought of a 2-digit number. Jen’s number is 7 times as big as Lin’s. But, if Lin writ
    6·1 answer
  • A small art museum charges $5 for an adult ticket and $3 for a student
    15·1 answer
  • What is the value of x if 5x+2 = 59?<br> Ox=-11<br> ох=-7<br> 0 х=7<br> Ox= 11
    7·2 answers
  • A store makes shirts and jackets to sell each shirt costs $4 to make and each jacket costs $25 to make
    14·1 answer
  • Compute the magnitude and direction of the sum of the two vectors: 170N of force at 87° and 100N of force at 46°.
    5·1 answer
  • How many squares will be in case 100?
    8·1 answer
  • Find the volume of the prism. Round to the nearest tenth if necessary
    14·1 answer
  • Hannah works at a electronics store she makes a commission of 13% on everything she sells if she sells 1,564 in electrictronis i
    15·1 answer
  • What is the name of currency of india??? ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!