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
marin [14]
3 years ago
14

An object moves in a straight path. Its position x as a function of time t is presented by the equation x(t) = at – bt2+c, where

a = 1.4 m/s, b = 0.06 m/s2 and c =50 m. a. Calculate the average velocity of the object for the time interval t = 0 to t = 5 s b. Calculate the average velocity of the object for the time interval t = 0 to t = 10 s c. Calculate the average velocity of the object for the time interval t = 10 to t = 15 s
Physics
1 answer:
ankoles [38]3 years ago
6 0

Answer:

The answer is below

Explanation:

Given that:

x(t) = at – bt2+c

a) x(t) = at – bt2+c

Substituting a = 1.4 m/s, b = 0.06 m/s2 and c =50 m gives:

x(t) = 1.4t - 0.06t² + 50

At t = 5, x(5) = 1.4(5) - 0.06(5)² + 50 = 55.5 m

At t = 0, x(0) = 1.4(0) - 0.06(0)² + 50 = 50 m

The average velocity (v) is given as:

v=\frac{x(5)-x(0)}{5-0}\\ \\v=\frac{55.5-50}{5-0}=1.1\\ \\v=1.1\ m/s

b) x(t) = 1.4t - 0.06t² + 50

At t = 10, x(10) = 1.4(10) - 0.06(10)² + 50 = 58 m

At t = 0, x(0) = 1.4(0) - 0.06(0)² + 50 = 50 m

The average velocity (v) is given as:

v=\frac{x(10)-x(0)}{10-0}\\ \\v=\frac{58-50}{10-0}=0.8\\ \\v=0.8\ m/s

c) x(t) = 1.4t - 0.06t² + 50

At t = 15, x(5) = 1.4(15) - 0.06(15)² + 50 = 57.5 m

At t = 10, x(10) = 1.4(10) - 0.06(10)² + 50 = 58 m

The average velocity (v) is given as:

v=\frac{x(15)-x(10)}{15-10}\\ \\v=\frac{57.5-58}{15-10}=0.1\\ \\v=0.1\ m/s

You might be interested in
4. What quantity of heat is required to raise the temperature of 100
kupik [55]

Answer:

Q = 836.4 Joules.

Explanation:

Given the following data;

Mass = 100 grams

Initial temperature = 25°C

Final temperature = 45°C

We know that the specific heat capacity of water is equal to 4.182 J/g°C.

To find the quantity of heat;

Heat capacity is given by the formula;

Q = mcdt

Where;

Q represents the heat capacity or quantity of heat.

m represents the mass of an object.

c represents the specific heat capacity of water.

dt represents the change in temperature.

dt = T2 - T1

dt = 45 - 25

dt = 20°C

Substituting the values into the equation, we have;

Q = 100*4.182*20

Q = 836.4 Joules.

5 0
3 years ago
A fl oor polisher has a rotating disk that has a 15-cm radius. The disk rotates at a constant angular velocity of 1.4 rev/s and
N76 [4]

Answer:

59.4 meters

Explanation:

The correct question statement is :

A floor polisher has a rotating disk that has a 15-cm radius. The disk rotates at a constant angular velocity of 1.4 rev/s and is covered with a soft material that does the polishing. An operator holds the polisher in one place for 4.5 s, in order to buff an especially scuff ed area of the floor. How far (in meters) does a spot on the outer edge of the disk move during this time?

Solution:

We know for a circle of radius r and θ angle by an arc of length S at the center,

S=rθ

This gives

θ=S/r

also we know angular velocity

ω=θ/t    where t is time

or

θ=ωt

and we know

1 revolution =2π radians

From this we have

angular velocity ω = 1.4 revolutions per sec =  1.4×2π radians /sec = 1.4×3.14×2×= 8.8 radians / sec

Putting values of ω and time t in

θ=ωt

we have

θ= 8.8 rad / sec × 4.5 sec

θ= 396 radians

We are given radius r = 15 cm = 15 ×0.01 m=0.15 m (because 1 m= 100 cm and hence, 1 cm = 0.01 m)

put this value of θ and r  in

S=rθ

we have

S= 396 radians ×0.15 m=59.4 m

7 0
3 years ago
Read 2 more answers
1. Which system has a higher random, average kinetic energy of its atoms, a glass of iced tea or a cup of hot tea?
natita [175]
The average kinetic energy of the particles is higher in the hot tea, so it also has greater thermal energy then the cold tea.
5 0
3 years ago
How do quantum numbers relate to electrons?<br> please explain?
alukav5142 [94]
Quantum numbers<span> allow us to both simplify and dig deeper into electron configurations. Electron configurations allow us to identify energy level, subshell, and the number of electrons in those locations. If you choose to go a bit further, you can also add in x,y, or z subscripts to describe the exact orbital of those subshells (for example </span><span>2<span>px</span></span>). Simply put, electron configurations are more focused on location of electrons then anything else. 
<span>
Quantum numbers allow us to dig deeper into the electron configurations by allowing us to focus on electrons' quantum nature. This includes such properties as principle energy (size) (n), magnitude of angular momentum (shape) (l), orientation in space (m), and the spinning nature of the electron. In terms of connecting quantum numbers back to electron configurations, n is related to the energy level, l is related to the subshell, m is related to the orbital, and s is due to Pauli Exclusion Principle.</span>
7 0
3 years ago
How many atoms are in a sample of 1.83 moles of potassium (K) atoms?
telo118 [61]
<span>Avogadro's number represents the number of units in one mole of any substance. This has the value of 6.022 x 10^23 units / mole. This number can be used to convert the number of atoms or molecules into number of moles.

 </span>1.83 moles K (6.022 x 10^23 atoms / mole ) = 1.10 x 10^24 atoms K
4 0
3 years ago
Other questions:
  • If your vehicle bounces a lot after a bump or is hard to control on turns, you may have a problem with __________ system.
    9·1 answer
  • A parallel-plate capacitor is connected to a battery. The space between the two plates is empty. If the separation between the c
    14·1 answer
  • The square root by prime factorization 2916​
    6·1 answer
  • Calculate the electric potential energy in a capacitor that stores 4.0 x 10-10 C
    13·2 answers
  • According to Newton's third law of motion, which are equal
    13·1 answer
  • How does the today's model of the atom DIFFER from the Rutherford’s model? 25 Points
    10·2 answers
  • A meteor is approaching Earth. Which statement about its motion is true?
    10·2 answers
  • How fast would a rock fall in a vacuum? Based on this, why would Aristotle say that there could be no such thing as a vacuum?
    10·1 answer
  • At what angle does the beam of light fall into the mirror if the beam is reflected
    5·1 answer
  • 12. Since the Clean Air Act was passed in 1970, why is the air still not clean?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!