Answer:
The time constant is
Explanation:
From the question we are told that
The spring constant is
The mass of the ball is
The amplitude of the oscillation t the beginning is
The amplitude after time t is
The number of oscillation is
Generally the time taken to attain the second amplitude is mathematically represented as
Here T is the period of oscillation
=>
=>
Generally the amplitude at time t is mathematically represented as
Here a is the damping constant so
at ,
So
=>
taking natural log of both sides
=>
=>
Generally the time constant is mathematically represented as
=>
=>
Well the similarity is that even though they are in a different state of matter they still come from the same substance: h2o
The If a car is going round a curve , there is an acceleration because the direction of the velocity changes.
<h3>What is the direction of the velocity?</h3>
Now we know that if you throw the ball upwards, the motion is in opposite direction to gravity thus the ball is experiencing deceleration and the speed decreases. The velocity decreases and the acceleration is negative.
If the ball is coming down, then the ball is accelerated thus it speeds up and the direction of the acceleration is positive.
If a car is going round a curve, the vehicle is accelerating because the direction of the velocity changes even if its amount remains constant.
When a board is moving down a hill at 2 ms-1, it is experiencing an acceleration because the motion is in the same direction as gravity.
If a car is coming to a stop at a point, it experiences a deceleration and not an acceleration since the change of velocity with time is negative as the car comes to rest.
Learn more about acceleration:brainly.com/question/12550364
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I am not sure but i think the answer is C