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Exactly two forces press on a 2.95 kg mass, both on the x-axis (the force is...

Exactly two forces press on a 2.95 kg mass, both on the x-axis (the force is positive if it points in the +x direction and negative otherwise), starting at time t=0. The first has a value of F(t)=3.7sin(wt) and the second has a value of F2(t)=-2.0cos(wt). Both forces are in N and the time is in seconds. The value of w is 1.85 rad/s.(w is omega) At t=0, the velocity is +3.0 m/s in the x-direction. Gravity does not act on the mass.

a.) Find the first positive time at which the acceleration is zero.

b.) If the velocity is +3.0 m/s in the x-direction at t=0 seconds, find the velocity at 2.5 seconds.

c.) Find the velocity when the acceleration is zero.

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