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Since Garrett and Carter bought popcorn and drinks, we have to figure out how much money is 1 drink and 1 popcorn. I figured the best way is to figure out half of $12.50 because 2 drinks and 2 popcorn cost that amount of money. You divide $12.50 by 2 to figure out half of that amount. The quotient equals to $6.25.
Answer:
The ball will reach a maximum height of 39.993 meters after 1.428 seconds.
Step-by-step explanation:
Let suppose that no non-conservative forces acts on the ball during its motion, then we can determine the maximum height reached by the Principle of Energy Conservation, which states that:
(1)
Where:
,
- Initial and final translational kinetic energies, measured in joules.
,
- Initial and final gravitational potential energies, measured in joules.
By definition of translational kinetic energy and gravitational potential energy we expand and simplify the expression above:
(2)
Where:
- Mass of the ball, measured in kilograms.
- Gravitational acceleration, measured in meters per square second.
,
- Initial and final speed of the ball, measured in meters per second.
,
- Initial and final heights of the ball, measured in meters.
The final height of the ball is determined by the following formula:
(3)
If we know that ,
,
and
, the maximum height that the ball will reach is:
The ball will reach a maximum height of 39.993 meters.
Given the absence of non-conservative forces, the ball exhibits a free fall. The time needed for the ball to reach its maximum height is computed from the following kinematic formula:
(4)
If we know that ,
and
, then:
The ball will take 1.428 seconds to reach its maximum height.