Question: A particle with mass m accelerated from rest by a constant force F will, according to Newtonian mechanics, continue to accelerate without bound; that is,

A particle with mass m accelerated from rest by a constant force F will, according to Newtonian mechanics, continue to accelerate without bound; that is, as t → ∞, v → ∞. Show that according to relativistic mechanics, the particle's speed approaches c as t → ∞.

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