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
What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?
lubasha [3.4K]

Answer: it might be D

Step-by-step explanation: I think so on edge -4 must be factored from -4x^2-7

4 0
3 years ago
Read 2 more answers
What is 5x − 4 = 3x + 6
ioda

Answer:

The answer is 5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
An airplane can stay in the air for 6 hours..it has been in the air for 2.5 hours
Rashid [163]
-3.5 is your answer to this question
7 0
3 years ago
Nancy’s grandma needs 5/8
Gre4nikov [31]

Answer:16

Step-by-step explanation:

10÷5/8=16

6 0
2 years ago
Absolute Value. 8 pts!!! I'd be so grateful if someone answers. Thanks so much in advance. (#22)
olasank [31]
X has to be a larger valued negative number than y for the equation to be valid.
5 0
3 years ago
Other questions:
  • The pre approved amount of money that a bank is willing to lend a credit card holder is the credit
    15·2 answers
  • Find the difference in height between the top of a hill 973 feet high and a crack caused by an earthquake 79 feet below sea leve
    14·1 answer
  • Please help me with this!!!
    6·1 answer
  • Marco bought a box of nails at a hardware store for $3.60. If the box contains 180 nails, the equation 3.60 = 180k can be used t
    9·2 answers
  • This is worth 17 points if you show work you will get the Brainliest answer if your unable to show work type it for your explana
    10·2 answers
  • Two sides of a triangle have sides 11 and 16. The length of the third side must be greater than
    9·1 answer
  • An engineer designs a structure that is is 21 feet long and 3
    11·1 answer
  • Solve this system of linear equations. Separate
    12·1 answer
  • Please help with this. I only need help with the first question I have the second one figured out,
    6·2 answers
  • Giving brainliest
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!