This question comes from Principles of Physics Volume 1: A particle is traveling

Question

This question comes from Principles of Physics Volume 1:
      A particle is traveling in astraight line at a constant speed of 25 m/s. Suddenly, aconstant force of 15.0 N acts on it, bringing it to a stop in adistance of 62.5 m. (a) Determine the time it takes for theparticle to come to a stop. (b) What is its mass?

I used the equation Xf = Xi + Vit+ 1/2at2 for part a.
For part b I use the equation F = ma, but I got a mass of 0 becauseI assume that a = 0 since we have a constant speed. Did I dothis correctly?

Explanation / Answer

Initial speed u = 25 m / s

Final speed v = 0

Force F = 15 N

Distance S = 62.5 m

From the relation v ^ 2- u ^ 2 = 2aS

Accleration a = [ v ^ 2- u ^ 2 ] / 2S

                      =- 5 m / s ^ 2

So, mass m = F / a

                    = 3 kg

(b). time taken to stop t = [ v – u ] / a

                                      = 5 s

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