A football is kicked into the air verticaly upward. What is its(a)accelaration and(b)velocity at the highest point
1 answer:
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Answer and Explanation: Kinetic energy is related to movement: it is the energy an object possesses during the movement. it is calculated as:
For the object thrown in the air:
Kinetic energy of the object as a function of time:
Potential energy is the energy an object possesses due to its position in relation to other objects. It is calculated as:
For the object thrown in the air:
Potential energy as function of time:
Total kinetic and potential energy, also known as mechanical energy is
TME = + (
)
TME = 1752
The expression shows that total energy of an object thrown in the air is constant and independent of time.
To solve this problem it is necessary to apply the kinematic equations of motion.
By definition we know that the position of a body is given by
Where
Initial position
Initial velocity
a = Acceleration
t= time
And the velocity can be expressed as,
Where,
For our case we have that there is neither initial position nor initial velocity, then
With our values we have , rearranging to find a,
Therefore the final velocity would be
Therefore the final velocity is 81.14m/s