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
of
(1) 5m
(2) 7 m
(3) 4 m
(4) 3 m​

Answer 1

Answer:

The correct ans is (1)5m

Explanation

Given,

x=t2−4t+6

So, the change in velocity is:

dtdx=2t−4

Since velocity is changing,

At t=0,x1=6

At t=2,x2=2

So the magnitude of the distance traveled is:

6−2=4m

At t=3,x3=3

So distance traveled from t=2s to t=3s

x3−x2=3−2=1m

Thus the total distance is:

4+1=5m