1) You may remember from your math classes this equation: 'y = mx + b', which is the equation of a straight line. If paired values of 'y' (dependent variable) and 'x' (independent variable) are graphed on a 'y vs. x' plot, the straight line can be easily seen with a slope of 'm' and an intercept of 'b'. Now think about a situation where you could measure physical quantities such as position 'x' and time 't'. Imagine tracking the motion of an object by recording positions and the time values corresponding to those positions. If that object is moving without accelerating then the relationship between position and time would be: x = vt + x0. In your own words describe what the slope and intercept of a 'x vs. t' plot would be.

2) Let's say you are tracking the motion of an object that starts at rest and is located at a reference point with a zero value at a time of zero seconds. If the object moves with constant acceleration, then its motion can be described with the equation: x = (0.5)at2. Just like before you are measuring the position and the corresponding time values and plotting data. You make two plots, the first is 'x vs. t' and the other plot is 'x vs. t2', which plot is linear?

3) What is the slope of the linear plot in the above question?