Answer:
Position of object is;
s(t) = 4t³/3 + 3t + 1
Explanation:
We are told that the velocity has an expression;
v(t) = 3.00 m/s + ( 4.00 m/s³)t²
Now, to get the expression for the position(s(t)) of the object, we have to integrate the velocity expression. Thus;
s(t) = ∫3 + 4t²
s(t) = 3t + 4t³/3 + c
Now, we were told that at x = 1.00 m, time t = 0.000 s
Thus, plugging the values in;
1 = 3(0) + 4(0³/3) + c
c = 1
Thus,the expression for the position of the object is;
s(t) = 4t³/3 + 3t + 1
The jet fighter's acceleration at the highest point is 17.56 ft/s²
The jet fighter's acceleration at the lowest point is 35.12 ft/s²
The given parameters;
radius of the circular path, r = 1200 ft
constant velocity, v = 140 mi/h = 205.3 ft/s
The formula for centripetal acceleration in a circular path is given as;

The jet fighter's acceleration at the highest point is calculated as;
h = 2r = 2 x 1200 ft = 2,400 ft

The jet fighter's acceleration at the lowest point is calculated as;
h = r = 1,200 ft

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Answer:
Energy cannot be changed from one form to another without a loss of usable energy
Explanation:
Second law of thermodynamics states that the total entropy or the randomness of the system remains constant over time. It also states that the net entropy will remain the same or it will increase.
Entropy of a system is given by heat absorbed divided by temperature. It is given by :

So, the correct option is (A) "Energy cannot be changed from one form to another without a loss of usable energy".
Answer:
The net force exerted by these two charges on a third charge is 
Explanation:
Given that,
Third charge 
Distance
Suppose The magnitude of the force F between two particles with charges Q and Q' separated by a distance d. Consider two point charges located on the x axis one charge, q₁ = -12.5 nC , is located at x₁ = -1.650 m, the second charge, q₂ = 31.5 nC , is at the origin.
We need to calculate the total force will be the vector sum of two forces
Using Coulomb's law,

Put the value into the formula


We need to calculate the force will be to the negative charge with opposite charges
Using Coulomb's law,

Put the value into the formula


The force also will be to the negative side, charges with same charge sign
We need to calculate the net force exerted by these two charges on a third charge
Using formula of net force




Negative sign shows the negative direction.
Hence, The net force exerted by these two charges on a third charge is 