A cart of inertia (m_{1}) and velocity (vec{v}_{1 i}) collides elastically with a cart of inertia (m_{2})

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A cart of inertia \(m_{1}\) and velocity \(\vec{v}_{1 i}\) collides elastically with a cart of inertia \(m_{2}\) initially moving at velocity \(-0.5 \vec{v}_{1}\). What is the speed of each cart after the collision?

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