A rocket, initially at rest, is fired vertically upward with an acceleration of $12.0\,\text{m/s}^2$. At an altitude of $1.00\,\text{km}$, the rocket engine cuts off. Drag is negligible.

Question

A rocket, initially at rest, is fired vertically upward with an acceleration of $12.0\,\text{m/s}^2$. At an altitude of $1.00\,\text{km}$, the rocket engine cuts off. Drag is negligible.(a) How fast is the rocket traveling when the engine cuts off?
, (b) What maximum height relative to the ground does the rocket reach before it begins falling back toward the earth?
, (c) After free-falling, what is the rocket’s velocity just before it hits the earth?
, (d) For what total amount of time was the rocket in the air (from initial launch to return to earth)?
:

Jason · Accepted Answer

$ 154.92 \, \text{m/s} $
$ 2,224.49 \, \text{m} $
$ 208.71 \, \text{m/s} $ downwards
$ 49.93 \, \text{s} $

Note: Answers may be off by $ \pm 0.2 $.

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