A roller coaster begins at the top a hill. If it accelerates at the rate of 2 m/s
^2, what will be its velocity after 5 seconds?
It seems like your question got cut off. Can you please provide the complete information about the roller coaster?
To answer your question, we need more information. Specifically, we need to know the final velocity or the time it takes for the roller coaster to reach that velocity. Acceleration alone is not enough to determine the speed of the roller coaster.
If you have the final velocity, you can use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. However, without the final velocity, we can't calculate the time it takes to reach it.
If you have the time it takes for the roller coaster to accelerate, you can use the equation s = ut + 0.5at^2, where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. In this case, if the roller coaster starts from rest (u = 0), the distance traveled will be equal to 0.5at^2.
Let me know if you have any further information or if you would like me to explain another question or topic!