A graph of versus altitude for a certain planet passes through the points and

MATHEMATICS · Single correct · AoPS · Mathematics · Lines Graphing · Lines Graphing

Problem

A graph of

g

versus altitude

h

for a certain planet passes through the points

(h=0\,\text{km},\,g=10\,\text{m s}^{-2})

and

(h=1600\,\text{km},\,g=6\,\text{m s}^{-2})

. Assuming the segment between these two points is a straight line, what is the value of

g

h=800\,\text{km}

? (a)

6\,\text{m s}^{-2}

(b)

8\,\text{m s}^{-2}

(c)

9\,\text{m s}^{-2}

(d)

7\,\text{m s}^{-2}