Answer:
Explanation:
<u>Instant Velocity and Acceleration </u>
Give the position of an object as a function of time y(x), the instant velocity can be obtained by
Where y'(x) is the first derivative of y respect to time x. The instant acceleration is given by
We are given the function for y
Note we have changed the last term to be quadratic, so the question has more sense.
The velocity is
And the acceleration is
Answer:
The value is
Explanation:
From the question we are told that
The initial speed is
Generally the total energy possessed by the space probe when on earth is mathematically represented as
Here is the kinetic energy of the space probe due to its initial speed which is mathematically represented as
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And is the kinetic energy that the space probe requires to escape the Earth's gravitational pull , this is mathematically represented as
Here is the escape velocity from earth which has a value
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Generally given that at a position that is very far from the earth that the is Zero, the kinetic energy at that position is mathematically represented as
Generally from the law energy conservation we have that
So
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Answer:
3.82 ms
Explanation:
The period of a wave is equal to the reciprocal of the frequency:
where f is the frequency.
In this problem, f = 262 Hz, so the period if this sound wave is