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  3. the model of a suspension from a rover, including

The model of a suspension from a rover, including gravity is :  my'' + cy' + ky...

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Physics

The model of a suspension from a rover, including gravity is:  my'' + cy' + ky = −gm

m is the mass of the rover, c is the daming coefficient of thesuspension, k is the spring constant, g is the gravity on theEarth. The gravity on the Mars is 1/3 on the Earth. This suspensionis at critical damping. The initialdisplacement when the rover landed is -1m and velocity is-10m/s.

a) solve this ODE using trial solution.

b)calculate the displacement that rover after it comes to a stopif it landed on Earth

c) what about landed on Mars.

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