Suppose a constant force of magnitude F acts on a particle of mass m initially at rest.(a) Integrate the formula for the acceleration found in Problem 14 to show that the speed of theparticle after time t is given by(F/m)t(F/m)²t² +c²°(b) Rearrange this equation to express the time t as a function of v/c. If the particle's initialacceleration at time t = 0 is a = g = 9.80 m s-2, how much time is required for the particle toreach a speed of v/c = 0.9? v/c = 0.99? v/c = 0.999? v/c = 0.9999? v/c = 1?Required acceleration formula,Fa =V(F. v),ymymc

The given data tells that the particle was initially at rest thus we can write,…

Answered: Suppose a constant force of magnitude F…

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