(Solved): The velocity function (in meters per second) is given for a particle moving along a line. v(t)=3t ...

The velocity function (in meters per second) is given for a particle moving along a line. $$v(t)=3t?7,0?t?4$$ (a) Find the displacement. m (b) Find the distance traveled by the particle during the given time interval. [-/2 Points] SCALC8 4.4.057. The acceleration function (in $$\mathrm{m}/{\mathrm{s}}^2$$ ) and the initial velocity are given for a particle moving along a line. $$a(t)=t+6,v(0)=5,0?t?11$$ (a) Find the velocity at time $$t$$. $$v(t)=\mathrm{m}/\mathrm{s}$$ (b) Find the distance traveled during the given time interval. m