Final answer:
The skateboarder's final speed, calculated using the formula \(v = v_0 + at\), is 30 m/s. Starting from rest (initial velocity \(v_0 = 0\)), accelerating at 6 m/s² for 5 seconds yields a final speed of 30 m/s down the ramp.
Step-by-step explanation:
To calculate the speed of the skateboarder who accelerates from rest, we can use the formula for acceleration, which relates acceleration (a), initial velocity (v0), and final velocity (v) over time (t): v = v0 + at. Since the skateboarder starts from rest, the initial velocity (v0) is 0 m/s. The acceleration given is 6 m/s², and the time is 5 seconds. Plugging these values into the formula: v = 0 m/s + (6 m/s²)(5 s) = 30 m/s. Hence, the skateboarder's final speed after accelerating for 5 seconds down the ramp at 6 m/s² is 30 m/s.