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In: Physics

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

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 the suspension, k is the spring constant, g is the gravity on the Earth. The gravity on the Mars is 1/3 on the Earth. This suspension is at critical damping. The initial displacement 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 stop if it landed on Earth

c) what about landed on Mars.

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