a skateboarder starting from rest accelerates down a ramp at 2m/s squared for 3sec. what is the final speed of the skateboarder?

To find the final speed of the skateboarder, we can use the formula for acceleration:

v = u + at

Where:
v is the final velocity (speed) of the skateboarder
u is the initial velocity (which is zero, as the skateboarder starts from rest)
a is the acceleration (2 m/s²)
t is the time (3 seconds)

Plugging in the values into the formula:

v = 0 + (2 m/s²)(3 s)
v = 0 + 6 m/s²
v = 6 m/s

Therefore, the final speed of the skateboarder after 3 seconds of acceleration down the ramp is 6 m/s.