Answer:
The shortest distance is
Explanation:
The free body diagram of this question is shown on the first uploaded image
From the question we are told that
The speed of the bicycle is
The distance between the axial is
The mass center of the cyclist and the bicycle is behind the front axle
The mass center of the cyclist and the bicycle is above the ground
For the bicycle not to be thrown over the
Momentum about the back wheel must be zero so
=>
=>
Here
So
Apply the equation of motion to this motion we have
Where
and since the bicycle is coming to a stop
=>
Here we can use the work energy theorem
here we know that
as it come to rest finally
now work done by friction force will be given as
Work done by spring force is given as
so now plug in all data above
so above is the friction coefficient
Answer - There are three ways an object can accelerate: a change in velocity, a change in direction, or a change in both velocity and direction.