Question

use figure 1 to answer: at which position does the skateboarder have the most kinetic energy?
position a
position b
position c
position d

Explanation:

To determine the position with the most kinetic energy, we use the principle of conservation of mechanical energy (kinetic energy \( KE \) + potential energy \( PE \) = constant). Kinetic energy is maximum when potential energy is minimum (since \( KE = \text{Total Energy} - PE \)). Potential energy (gravitational) depends on height (\( PE = mgh \)); lower height means lower \( PE \).

Looking at the skateboarder's path (a curve, likely a ramp or parabola), the lowest point (minimum height) will have the least \( PE \), so maximum \( KE \). From the positions (A, B, C, D) and typical skateboard ramp motion, the lowest position (e.g., Position B or C? Wait, the figure shows a curve: the bottom of the curve (where height is least) is where \( KE \) is max. Assuming the curve is a parabola, the vertex (lowest point) is where speed is highest (max \( KE \)). If Position B is the lowest (bottom of the curve), then that's where \( KE \) is max. Wait, the left positions: Position B (purple) – maybe the figure's curve has the lowest point at Position B? Wait, the problem's figure (Figure 1) shows a skateboarder on a curved path (like a half - pipe or a parabola). At the lowest point of the path, the skateboarder has the most speed, hence most kinetic energy (since \( KE=\frac{1}{2}mv^{2} \), and speed \( v \) is highest at the lowest height, as \( PE \) is converted to \( KE \)).

Assuming the positions: Position B is the lowest point (bottom of the curve), so that's where \( KE \) is maximum.

Answer:

Position B (assuming the figure's curve has the lowest point at Position B; if the figure's lowest point is another, but from typical problems, the lowest position on the curve has max KE). So the answer is Position B (e.g., if the options are Position A, B, C, D, and B is the lowest, then B).