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
12345 [234]
3 years ago
12

The function ​v(t)equals=t cubed minus 10 t squared plus 21 tt3−10t2+21t​, ​[0,99​], is the velocity in​ m/sec of a particle mov

ing along the​ x-axis. Complete parts​ (a) through​ (c). a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval.
Physics
1 answer:
stellarik [79]3 years ago
3 0

NOTE: <em>I suppose there was an error when typing the Interval. </em>

<em>Graphing the graph up to 99 for example for point A, implies a 10-fold perioricity and for point B almost 10 integrals! That is a little expensive!</em>

<em>Which implies an extremely costly graph to count the positive and negative points. </em>

<em> I will start by performing the procedure for a shorter interval, in case it is necessary and implicit </em>

<em>Extensive interval, I think the procedure is contingent and it is simply a matter of extrapolating it. </em>

 

So things,

The function:

v (t) = t ^ 3 - 10t ^ 2 + 21t, [0.9]

a) t \in (0.3) \Rightarrow Positive address & t \in (7.9)

t \in (3.7) \Rightarrow Negative address

b) Displacement = \int \limit ^ 9_0 (t ^ 3-10 ^ t2 + 21) dt = \frac {t ^ 4} {4} - \frac {10 ^ 3} {3} + \frac {21t^2} {2} \Big| _0 ^ 9

Displacement = 60.75m

c) Distance = \int \limit ^ 0_3 (t ^ 3-19t ^ 2 + 21t) dt + \int \limit ^ 7_3 (-t ^ 3 + 10t ^ 2-21t) dt + \int \limit ^ 9_7 (t ^ 3-19t ^ 2 + 21t) dt

Distance = 167.41m

You might be interested in
A 1000 kg box is being pushed with a force of 3500 N. What acceleration is the
WARRIOR [948]
Net Force = mass x acceleration
3500=1,000a
So a= 3500/1000
a=35/10
a=3.5 m/s^2
4 0
3 years ago
How many joules of heat must be transferred to a 410-g aluminum pizza pan to raise its temperature from 32oC to 232oC? The speci
xxTIMURxx [149]

Answer:

recall that heat absorbed released is given by

Q = mc*(T2 - T1)

where

m = mass (in g)

c = specific heat capacity (in J/g-k)

T = temperature (in C or K)

*note: Q is (+) when heat is absorbed and (-) when heat is released.

substituting,

Q = (480)*(0.97)*(234 - 22)

Q = 98707 J = 98.7 kJ

Explanation:

3 0
3 years ago
An open system starts with 52 J of mechanical energy. The energy changes
spayn [35]

Answer:

I think the answer is D,54 joules

5 0
2 years ago
How does an understanding of plate motion help scientists
Arte-miy333 [17]

Answer:

advance in the understanding of cellular movement

Explanation:

All organisms are formed from cells, "understanding how cells are able to interact with other cells during development helps us understand how tissues and organs are established and, consequently, how the shape arises in embryos," explains Germán Reig

6 0
3 years ago
which statement is a Hypothesis? A: Most of the earthworms moved to the shaded area during experiment. B: If an earthworm is giv
True [87]

Answer:

B

Explanation:

It's saying what you think

3 0
3 years ago
Other questions:
  • The element carbon has 3 naturally occurring isotopes. About 99% of carbon isotopes are C-12, about 1% are C-13, and a tiny amou
    5·1 answer
  • What is a wave that has all the crests and troughs in the same place at the same time?
    9·2 answers
  • Hydraulic systems utilize Pascal's principle by transmitting pressure from one cylinder (called the primary) to another (called
    7·1 answer
  • QUESTION 6
    15·2 answers
  • A 12,500 N alien UFO is hovering about the surface of Earth. At time , its position can be given as () = ((0.24 m/s^3)^3 + 25 m)
    10·1 answer
  • After viewing the demo, what can you say about the buoyancy/density of warm water compared to the buoyancy/density of colder wat
    10·2 answers
  • A boy walks towards a stationary plane mirror at a speed of 12ms^1 what is the relative speed of approach of the boy and his ima
    12·1 answer
  • What is the difference between biomass and fossil fuels main points?
    14·1 answer
  • 3- A ball of mass 0,50 kg falls and hits the floor at 10m/s,
    10·1 answer
  • What important change in the atmosphere occurred during the Proterozoic Eon?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!