Does this speed ever exceed the speed of light what is the, Physics

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Does this speed ever exceed the speed of light what is the

A spaceship of mass m moves in the positive x-direction with speed

u(t) = c²t / √(a² + c²t²)

where a > 0 is a constant with dimensions of length.

(a) Does this speed ever exceed the speed of light?

(b) What is the force, F(t), acting on the spaceship as a function of time?

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