Answer:
He has a speed of 16.60m/s after 35.0 meters.
Step-by-step explanation:
The final velocity can be determined by means of the equations for a Uniformly Accelerated Rectilinear Motion:
(1)
The acceleration can be found by means of Newton's second law:
Where
is the net force, m is the mass and a is the acceleration.
(2)
All the forces can be easily represented in a free body diagram, as it is shown below.
Forces in the x axis:
(3)
Forces in the y axis:
(4)
Solving for the forces in the x axis:

Where
and
:


Replacing in equation (2) it is gotten:






So the acceleration for the cyclist is
, now that the acceleration is known, equation (1) can be used:

However, since he was originally at rest its initial velocity will be zero (
).



He has a speed of 16.60m/s after 35.0 meters