Question

For a particle moving along x-axis, position (x in metre) and time (t in seconds) are related by x =t2+4t+8momentum of the particle of mass 2 kg at t = 3 seconds is ________kg ms−1

 
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Answer 1

Answer:

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

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