# Inverse Law Force

**Classical Mechanics**Level pending

Suppose there is a hypothetical 1-D universe where particles are gravitationally attracted by the force \[{F}_{G}=\frac{-GMm}{r}.\] If a particle situated 150 million km from a point star with mass \(M\) is released from rest at \(t=0\), find the time in seconds for it to reach the point star.

In this universe you can go past the speed of light and all objects are singularities.

**Constants in this problem**
\[M = 2 \times {10}^{30} kg\]
\[G = 6.67 \times {10}^{-11} N\bullet m/kg/kg\]