We have to find the original speed of the elephant so that it does not fall off a cliff. A 5000-kg elephant on frictionless roller skates starts at 25 m/s going down a hill. When it hits a level plain, the rocket attached to the elephant then starts generating a constant 8000 N thrust against the direction the elephant is going down the hill. The mass of the rocket follows the equation m(t) = 1500kg - 20kg/s(t).
From the equation F = ma. We derive a = f/m.
In this case a(t)= 8000kg/((1500kg+5000kg)-20kg/s*t).
This equation will be simplified to:
a(t) = -400/(325-t) m/s^2
From our experiment the value we got was 248.69 meters which is to what you have calculated for us 248.7.
Ultimately the experiment was a success as the results were almost exactly the same.
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