The velocity function $($in meters per second$)$ for a particle moving along a line is given by

$v(t)=4(t^2-2t-8),1t6$

$($a$)$ Find the displacement $($in meters$)$ of the particle.

Displacement $=$ meters

$($b$)$ Find the total distance traveled $($in meters$)$ by the particle.

Total distance traveled $=$ meters