Describe the relationship between the length and period of a pendulum in the language of direct proportions
1 answer:
The period of the pendulum is directly proportional to the square root of the length of the pendulum
Explanation:
The period of a simple pendulum is given by the equation
where
T is the period
L is the length of the pendulum
g is the acceleration of gravity
From the equation, we see that when the length of the pendulum increases, the period of the pendulum increases as the square root of L, . This means that
The period of the pendulum is directly proportional to the square root of the length of the pendulum
From the equation, we also notice that the period of a pendulum does not depend on its mass.
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Given the time, the final velocity and the acceleration, we can calculate the initial velocity using the kinematic equation A:
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Answer:
The velocity of the arrow after 3 seconds is 30.02 m/s.
Explanation:
It is given that,
An arrow is shot upward on the moon with velocity of 35 m/s, its height after t seconds is given by the equation:
We know that the rate of change of displacement is equal to the velocity of an object.
Velocity of the arrow after 3 seconds will be :
So, the velocity of the arrow after 3 seconds is 30.02 m/s. Hence, this is the required solution.