Since the particle moves to increasing ( s ) from rest at ( s=1 ), take positive root.
At ( t = 0 ), ( v = 0 \Rightarrow C_1 = 0 ). Thus: [ \boxedv(t) = 3t^2 ]
We know ( v = \fracdsdt = 3t^2 ). Integrate:
At ( t = 0 ), ( v = 0 \Rightarrow C_1 = 0 ). Thus: [ \boxedv(t) = 3t^2 ] rectilinear motion problems and solutions mathalino
We know ( v = \fracdsdt = 3t^2 ). Integrate: Since the particle moves to increasing ( s