The problem involves determining the maximum height of a baseball thrown upward from a height of 2 meters with an initial velocity of 10 meters per second. The context includes both calculus and physics principles, particularly focusing on integration and energy conservation.
The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding energy conservation, while others emphasize the need to adhere to the correct units in calculations. There is no explicit consensus on the method to be used.
Participants note the importance of using metric units for the calculations, as the problem is stated in those terms. There is also mention of the need to clarify the equations of motion and their applicability in this context.
ayrestaurant said:Homework Statement
A baseball is thrown upward from a height of 2m with an initial velocity of 10m/s. Determine its maximum height.
Homework Equations
S(0) = 2m
S'(0) = 10m/s
The Attempt at a Solution
S'(t) = -32t + 10
S(t) = -16t^2 + 10t + 2
I know that if you equal s(t) = 0 you get time, but how do I get maximum height?
Thanx in advanced!
berkeman said:The easiest way would be to use energy conservation. Are you familiar with the equation:
TE = PE + KE (total energy is equal to potential energy plus kinetic energy)
What is the KE at the top of the object's travel?