Question

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

Answer 1

Answer:

Option A is Correct

Step-by-step explanation:

Given as,

x=t

2

−4t+6

So, the change in velocity is:

dt

dx

=2t−4

Since velocity is changing,

At t=0,x

1

=6

At t=2,x

2

=2

So the magnitude of the distance traveled is:

6−2=4m

At t=3,x

3

=3

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

x

3

−x

2

=3−2=1m

Thus the total distance is:

4+1=5m

Hope this may help uh!