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The velocity of a particle varies directly as the product of its position and time squared. The particle has known positions s(0) = 3 and s(2) = 5. Answer the following.

I am not sure if the differential equation is ds/dt=k(s+t^2)

(where s=position and t=time)

User Pruivo
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Integrate ds wrt to t.Then you can use known conditions.


User Viraj Shelke
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