Initial velocity u = 30 m/s
As it stop so final velocity v = 0 m/s
Time t = 2 s
Distance covered = s
We know,
s =
=> s = 30 m
In order to take a safe turn, the cyclist has to bend a little from his vertical position. In this case, a component of the reaction provides the required centripetal force.
If q is angle made by the cyclist with the vertical then
Dividing (2) by (1), we get
=>
In actual practice, the value of q is slightly less because the force of friction also contributes towards the centripetal force.
Initial velocity , between t= 0s and t=4s, the particle has a constant velocity,
therefore slope of OA is
At t= 0,Impulse=Change in momentum
=
At t= 4s, initial velocity is 3/4 m/s,
So, the Impulse =