Who wants to give me a quick crash course on average rate of change, speed, velocity, acceleration, etc in calculus. I just need a brief refresher so I don’t get cooked tmrw
Average rate of change? Do you mean average velocity? That's just the change in displacement over the change in time (so subtract the final value of both from the initial value). This is much simpler than calculus questions involving differentiation, which require you to find the instantaneous rate of change.
As for displacement (x, or s for physics), velocity (v, or x with a dot on top) and acceleration (a, or x with 2 dots on top) - differentiate the x function for the v function, and differentiate the v function for the a function. I'm assuming you haven't done integration yet?
Remember that the above 3 are the vector values, and their scalar equivalents of x and v are distance and speed. For those, you would typically need a graph. Remember that vector values include both magnitude and direction, while scalar values only include magnitude. For example, distance is just how much ground you've covered, while displacement is how far you end up from your starting position.
