Question

a bicyclist is stopped at the entrance to a valley, as sketched below:
image of a bicyclist at point a and a valley with points b, c, d, e, f
where would the bicyclist have the highest potential energy? a
where would the bicyclist have the lowest potential energy? d
where would the bicyclist have the highest kinetic energy? d
where would the bicyclist have the highest speed? d
would the bicyclist’s kinetic energy be higher at a or b? b
would the bicyclist’s potential energy be higher at a or b? a
would the bicyclist’s total energy be higher at a or b? it is the same at both
suppose the bicyclist lets off the brakes and coasts down into the valley without pedaling. even if there is no friction or air... truncated

Explanation:

Potential energy (PE) depends on height: $PE = mgh$, so higher positions mean higher PE. Kinetic energy (KE) is related to speed ($KE = \frac{1}{2}mv^2$); without friction, PE converts to KE, so lowest PE (lowest height) means highest KE and speed. Total energy is conserved (no friction), so it’s the same at A and B.

Answer:

1. Highest potential energy: A
2. Lowest potential energy: D
3. Highest kinetic energy: D
4. Highest speed: D
5. Higher kinetic energy at A or B: B
6. Higher potential energy at A or B: A
7. Higher total energy at A or B: It is the same at both
8. (Incomplete last question, but based on context if asking max height reached: E)