Answer and Explanation:
Let:
The equation representing a simple harmonic motion, where:
As you may know the derivative of the position is the velocity and the derivative of the velocity is the acceleration. So we can get the velocity and the acceleration by deriving the position:
Also, you may know these fundamental formulas:
Now, using the previous information and the data provided by the problem, let's solve the questions:
(a)
(b)
(c)
(d)
We can extract the phase of the motion, the angular frequency and the amplitude from the equation provided by the problem:
(e)
(f)
Answer: Chemical → Mechanical → Electrical → Radiant
Explanation:
First, the Hamster eats the carrot, then the hamster is getting chemical energy.
Now the hamster starts using his wheel, then he "transforms" the chemical energy into mechanical energy.
Now the mechanical energy is connected to a generator, this means that the mechanical energy (the rotation of the wheel) is being converted into electrical energy.
And we know that there is a light bulb powered by this electrical energy, then we have electrical energy being transformed into radiant energy.
Then the correct option is:
Chemical → Mechanical → Electrical → Radiant
Answer:
Explanation:
given,
s = 400- 16 t²
we know,
Velocity of an object is defined as the change in displacement per unit change in time.
velocity an also be return as
Hence, instantaneous velocity function given by
To calculate instantaneous velocity, you need to insert value of time.
ex, instantaneous velocity at t = 4 s
v = -32 x 4 = -128 m/s.
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