Problem 1.378

A particle of rest mass $m_{0}$ starts moving at a moment $t=0$ due to a constant force $\mathbf{F}$ . Find the time dependence of the particle's velocity and of the distance covered.

Reveal Answer

v=F c t / \sqrt{m_{n}^{2} c^{2}+F^{2} t^{2}}, \quad l=\sqrt{\left(m_{0} c^{2} / F\right)^{2}+c^{2} t^{2}}-m_{0} c^{2} / F

Relativistic Mechanics