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Trial SPM Negeri Sembilan 2023

A particle starts from rest at a fixed point O and moves along a straight line with velocity v . It is given that , where t is the time in seconds after the motion begins, and p and q are constants. The particle is momentarily at rest when t=1 second, and its displacement at that time is 2 meters to the left of point O. [Assume motion to the right is positive]

(a) Calculate the value of p and q.

(b) By using the value of p and q obtained in (a), (i) find the initial acceleration

(ii) calculate the total distance travelled by the particles in the first 2 seconds.