Final answer:
To find the location after moving along the curve, determine the tangent line at t = 25 s and find the endpoints at 19 s and 32 s. Solve for the slope using the positions.
Step-by-step explanation:
To find the location after moving along the curve, we need to determine the tangent line to the curve at time t = 25 s. Then, we can determine the endpoints of the tangent, which correspond to a position of 1300 m at time 19 s and a position of 3120 m at time 32 s. By plugging these endpoints into the equation, we can solve for the slope, v.