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acceleration assume that a fully loaded plane starting from rest has a constant acceleration
while moving down a runway. the plane requires 0.7 mile of runway and a speed of 160 miles per hour
in order to lift off.
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There are two basic relations between acceleration "a", speed "v", time "t" and distance "S"
S(t) = for distance (1)
and
v = at for speed (2)
In this problem, the input data are the distance and the speed.
So, from (2) we express t = and substitute it into (1). Doing this way, we get
S(t) = = .
It gives us
a = . (3)
It the direct formula, which allows us to compute acceleration having the distance and the speed.
You only need substitute given values in formula (3)
a = = 18285.7 miles per hour per hour.
Formally, it is the answer to the problem's question.
I say "formally", because this unit "miles per hour per hour" is practically NEVER USED in practice.
But since your post says nothing about the desired unit, I will stop my explanations at this point.
Solved.