Both classically and relativistically, the force on an object is what causes a time rate o...

Both classically and relativistically, the force on an object is what causes a time rate of change of its momentum: F = dp/dt.

(a) Using the relativistically correct expression for momentum, show that

(b) Under what condition does the classical equation F = ma hold?

(c) Assuming a constant force and that the speed is zero at t = 0, separate t and u, then integrate to show that

(d) Plot u versus t. What happens to the velocity of an object when a constant force is applied for an indefinite length of time?