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

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