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romanna [79]
2 years ago
5

9. What is the acceleration of a boat if it starts from rest and then reaches a velocity of 24 m/s in 6.0 s?

Physics
1 answer:
Tom [10]2 years ago
4 0

Answer:

b. 4 ms-2

Explanation:

acceleration = velocity / time

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Consider the differential equation
Zielflug [23.3K]
Yp(t) = A1 t^2 + A0 t + B0 t e(4t)

=> y ' = 2A1t + A0 + B0 [e^(4t) +4 te^(4t) ]

     y ' = 2A1t + A0 + B0e^(4t) + 4B0 te^(4t)

=> y '' = 2A1 + 4B0e(4t) + 4B0 [ e^(4t) + 4te^(4t)

     y '' = 2A1 + 4B0e^(4t) + 4B0e^(4t) + 16B0te^(4t)

Now substitute the values of y ' and y '' in the differential equation:

 
<span>y′′+αy′+βy=t+e^(4t)


</span> 2A1 + 4B0e^(4t) + 4B0e^(4t) + 16B0te^(4t) + α{2A1t + A0 + B0e^(4t) + 4B0 te^(4t) } + β{A1 t^2 + A0 t + B0 t e(4t)} = t + e^(4t)

Next, we equate coefficients

1) Constant terms of the left side = constant terms of the right side:

2A1+ 2αA0 = 0 ..... eq (1)

2) Coefficients of e^(4t) on both sides

8B0 + αB0 = 1 => B0 (8 + α) = 1 .... eq (2)

3) Coefficients on t

2αA1 + βA0 = 1 .... eq (3)


4) Coefficients on t^2

βA1 = 0 ....eq (4)

given that A1 ≠ 0 => β =0

5) terms on te^(4t)

16B0 + 4αB0 + βB0 = 0 => B0 (16 + 4α + β) = 0 ... eq (5)

Given that B0 ≠ 0 => 16 + 4α + β = 0

Use the value of β = 0 found previously

16 + 4α = 0 => α = - 16 / 4 = - 4.

Answer: α = - 4 and β = 0
  




3 0
4 years ago
A uniform steel girder of weight 22KN and of length 12m is lifted off the ground at one end by means of a crane. When the raised
Keith_Richards [23]

Answer:

Explanation:

For free body diagram see attached sheet .

W is weight of steel girder acting at the middle point of its length . T is tension in the cable .

OB = √ ( 12² - 2² )

= 11.83 m .

OC = 11.83 / 2 = 5.915 m

Taking moment of tension T and weight W about point O

W x OC = T x OB

22 x 5.915 = T x 11.83

T = 22 x 5.915 / 11.83

= 11 kN

Considering forces acting in vertical direction and equating forces in opposite direction

T + R = W

R = W - T

= 22 - 11 = 11 KN

So force of grinder on the ground = R

= 11 KN.

8 0
3 years ago
If a victim of sexual harassment asks a supervisor not report it, the supervisor should respect his or her wishes.
inn [45]

Answer:

False

Explanation:

6 0
3 years ago
Read 2 more answers
The temperature that sound moves through the air more quickly
Mademuasel [1]
Sound moves faster in warmer temperature because the particles move faster  
7 0
3 years ago
PLLLZ HELP Compare and contrast electric potential energy and electric potential difference? Please use 2 content related senten
masha68 [24]

The electric potential difference is the electric potential energy per unit charge

Explanation:

First of all, we define the concept of electric potential. The electric potential is a measure of the gradient of the electric field at a certain point of the space. The electric potential at a distance r from a positive charge of magnitude q is given by

V(r) = \frac{kq}{r}

where k is the Coulomb's constant.

Now we can define the electric potential energy and the electric potential difference:

  • Electric potential energy is the energy possessed by a charge due to the presence of an electric field. For a charge of magnitude q immersed in an electric field, its potential energy is given by U=qV, where V is the electric potential at the location of the charge.
  • The electric potential difference is simply the difference in electric potential between two points in the space. For instance, if the potential at point A is V(A) and the potential at point B is V(B), then the potential difference is \Delta V = V(A)-V(B)

The electric potential energy is also defined as the work done on a charge q moved through a potential difference of \Delta V. Consequently, the potential difference \Delta V represents the work per unit charge done, i.e. the work done when moving a unitary charge through a potential difference \Delta V.

Learn more about potential difference and current:

brainly.com/question/4438943

brainly.com/question/10597501

brainly.com/question/12246020

#LearnwithBrainly

5 0
4 years ago
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