The motion of a particle of mass m is given by x = 0 for t<0s,x(t)=Asin 4t for O0), and x=0fort>(1/4)s. Which of the following statements is true ?

Q: The motion of a particle of mass m is given by x = 0 for t < 0 s , x(t) = Asin 4πt for  0 < t < (1/4) s  ( A > 0), and x=0 for t > (1/4)s. Which of the following statements is true ?

(a) The force at t = (1/8)s on the particle is – 16 π2 A-m

(b) The particle is acted upon by on impulse of magnitude 4 π2 A-m at t=0 s and t = (1/4)s

(c) The particle is not acted upon by any force

(d) There is no impulse acting on the particle

Ans: (a) , (b) & (d)