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An object of mass m moves along a guided horizontal path with a speed given by...

An object of mass m moves along a guided horizontal path with a speed given by v = vo + vasin(ωt) where t = time in seconds. The constants are … vo = 5 m/sec va = 3 m/sec ω = π/4 rad/sec (Recall rad/sec = 1/sec) m = 5 kg Find functions for the position, acceleration, and force required to cause this acceleration as functions of time. At time t = 0 … position xo = 0

Does someone have a good way to understand derivates in relationship of velocity-acceleration-position?

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