Question

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

Answer 1

i hope you will understand ,

x = (t^(2)-4t+6)

put t=0,
we get x= 6

put t=3,
we get x=3

therefore total distance covered by a body is 9m

Answer 2

at time t=0  ,the   body  is at x=0²-4(0)+6=6 which is its initial position
at time t=3 position of the bodyis 3²-4*3+6=3so distance travelled is l3-6l=3