An astronaut in space cannot weigh themselves by standing on a bathroom scale.Instead, they determine their mass by oscillating on a large spring. The astronautattaches one end of a large spring to their belt and the other end to a hook on thewall of the space capsule. A fellow astronaut pulls them away from the wall andthen releases. The spring's length as a function of time is shown in the graph.L (m)1.41.21.00.80.60.40.20.0t (s)3A. What is the astronaut's mass is if the spring constant is 240 N/m?B. Write an equation for the length, L(t), of the spring as a function of time, t.C. Write an equation for the velocity of the astronaut as a function of time.D. What is the astronaut's speed when the spring length is 1.2m?

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