Solve Kinematics Problem: Ball Thrown Upward in Elevator

AI Thread Summary
A kinematics problem involves a ball thrown upward in an elevator moving at 10 m/s while the ball's initial speed is 20 m/s. To determine the time it takes for the ball to return to its original position, one must consider the relative speeds of both the ball and the elevator. The solution requires using Galilean transformations to find the ball's speed relative to the elevator. By establishing the position functions for both the elevator and the ball, and setting them equal, the time can be calculated. This approach effectively simplifies the problem by focusing on relative motion.
Nenad
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hi guyes, I was wondering if someone could help me with a problem I had on a quiz. The question he's been puzzeling me for some time now.

A ball is thrown upward in an open roof elevator traveling at 10m/s(elevator speed). The balls speed is 20m/s. How much time does it take for the ball to reach the same point it was thrown at?
 
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You could use galilean transformations to solve this one, the 10m/s of the elevator must be relative to a inertial frame observer, as the 20m/s. Find the speed relative to the elevator, to simplify calculations.
 
Nenad said:
A ball is thrown upward in an open roof elevator traveling at 10m/s(elevator speed).
Is the elevator rising or falling?
The balls speed is 20m/s.
I assume that's the ball's speed with respect to the earth/elevator shaft.
How much time does it take for the ball to reach the same point it was thrown at?
I assume you mean same point with respect to the elevator car?

Find the position of the elevator car as a function of time. (Constant speed.)
Find the position of the ball as a function of time. (Constant acceleration.)

Set them equal and solve for the time.
 
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