Question

the position of a body moving along x-axis at time t is given by x = (t2-4t+6) m . The distance travelled by body in time interval t = 0 to t = 3 s is -
(1) 5 m
(2) 7m
(3) 4 m
(4) 3 m

Answer 1

Final answer: 4) 3m

Position of a body moving along x - axis at time 't' is given by :

$x = {t}^{2} - 4t + 6$
Distence covered from time t=0 to t= 3s

is given by : x(3) - x(0)

=>
$| ({3}^{2} - 4 \times 3 + 6) - ( {0}^{2} - 4 \times 0 \\ + 6) | = | - 3| = 3$


Hope, you understand my answer and it helps you!