Question

Identify the relationship between kinetic energy (KE) and gravitational potential energy (PE) for the cyclist at each position. KE increases while PE decreases.PE is at a minimum.KE decreases while PE increases.PE is at a maximum.

Answer 1

Every moving object has kinetic energy . PK=m*v^2
Any object that is raised against the force of gravity stores gravitational potential energy. PE = mass*g*height

According the Law of Conservation on Energy the total energy of an isolated system remains constant. In other words, the kinetic energy plus the potential energy equals a constant (KE+PE=Constant).
So, it is true that if KE increases, than PE decreases.
When PE is at a minimum, than KE is at a maximum.
It is true also that KE decreases while PE increases .
And that PE is at a maximum, KE is at a minimum.

Answer 2

You're welcome :D Hope this helps!