Question

The position of the particle is given by the x= (4t-t^2/2).the distance travelled by the particle in time 6sec

Answer 1

$x = 4 {t}^{2} - {t}^{2}$
$x = 4. {6}^{2} - {6}^{2}$
$x = 4.36 - 36$
$x = 144 - 36$
$x = 108$