At a NASA research center free-fall research is performed bydropping experiment

Question

At a NASA research center free-fall research is performed bydropping experiment packages from the top of an evacuatedshaft 153 m high. Free-fallimitates the so-called microgravity environment of a satellite inorbit. (a) What is the maximum time interval for free fall if anexperiment package were to fall the entire 153 m?

(b) Actual NASA specifications allow for a 5.09 s drop time interval. How far do thepackages drop in 5.09 s?

(c) What is their speed at 5.09 s?

(d) What constant acceleration would be required to stop anexperiment package in the distance remaining in the shaft afterits 5.09 s fall?
(a) What is the maximum time interval for free fall if anexperiment package were to fall the entire 153 m?

(b) Actual NASA specifications allow for a 5.09 s drop time interval. How far do thepackages drop in 5.09 s?

(c) What is their speed at 5.09 s?

(d) What constant acceleration would be required to stop anexperiment package in the distance remaining in the shaft afterits 5.09 s fall?

Explanation / Answer

(a)    we use the equation of motion that    s = u t + (1 / 2) g t2    153 m = 0 + (1 / 2) g t2    solve for the time t (b)    use the same formula and solve for thedistance s (c)    v = u + g t       = 0 + g t       = ........ m / s    solve for the time t (b)    use the same formula and solve for thedistance s (c)    v = u + g t       = 0 + g t       = ........ m / s

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