An elevator ascends from the ground with uniform speed. a time tį later, a boy drops a marble through a hole in the floor. a time t2 after that (i. e. ti +t2 after start) the marble hits the ground. find an expression for the height of the elevator at time ti. (local gravity is g.) what checks can you make?

Explanation:

Let Ye be the position of the elevator, Ve be the velocity of the elevator and Ym the position of the marble. We know that:

  Since the marble hits the ground at T2, Ym=0m

Replacing Ye into the equation for Ym:

  Solving for Ve:

 Replcaing this value into Ye:

If we check units of Ye expression, they must be distance units.

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