Calculate the speed (in m/s) of a skateboarder who accelerates from rest for 4 seconds down a ramp at an acceleration of 3 m/s2.
think on it. at t=0, v=0.
every second, v increases by 3 m/s.
what is v after 4 seconds?
3 second of 5m/s
To calculate the speed of the skateboarder, we need to use the formula for linear motion:
speed = acceleration × time
Given that the skateboarder accelerates from rest (meaning the initial speed is 0 m/s), and the acceleration is 3 m/s^2 for a duration of 4 seconds, we can plug these values into the formula to find the speed:
speed = 3 m/s^2 × 4 s
speed = 12 m/s
Therefore, the speed of the skateboarder is 12 m/s.