Solve the given problems by determinants set up appropriate

Question

Question: Solve the given problems by determinants. Set up appropriate systems of equations. All numbers are accurate to at least two significant digits.

In a laboratory experiment to measure the acceleration of an object, the distances traveled by the object were recorded for three different time intervals. These data led to the following equations:

s₀ + 2v₀ + 2a = 20

s₀ + 4v₀ + 8a = 54

s₀ + 6v₀ + 18a = 104

Here ,s0 is the initial displacement (in ft), v0 is the initial velocity (in ft/s), and a is the acceleration (in ft/s²) Find s₀, v₀ and a.