:Troll:
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
If you have an object that is accelerating, then a position vs. time graph will give you a parabola which is pretty but is very hard to measure anything on - especially hard to measure the acceleration (or the curve of the line). If however, you graph position vs. time squared, you get a nice straight line (if you have constant acceleration) and therefore, you can measure the slope and get the acceleration. Remember: x = 1/2at2 so if you graph x vs. t2 then the slope = 1/2 a or a = 2*slope No matter what you are measuring, you always want to graph a straight line. hope that helps
The dependent variable.
The gradient of the graph.
:Troll:
The y-intercept on a position vs. time graph represents the initial position where the object started. It is the value of the position when time is zero.
False. Velocity is the slope of a position vs time graph, not a displacement vs time graph. Displacement vs time graphs show how an object's position changes over time, while velocity represents the rate of change of position.
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
The position.
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
Speed. More specifically... velocity.
Motion can be represented graphically using position-time graphs, velocity-time graphs, and acceleration-time graphs. These graphs provide information about how an object's position, velocity, and acceleration change over time. Position-time graphs show the object's position at different times, velocity-time graphs show how the velocity changes over time, and acceleration-time graphs show how the acceleration changes over time.
The slope of a line drawn tangent to a point on a position vs. time graph represents the instantaneous velocity of the object at that point. It describes how the position of the object is changing at that exact moment in time.
The slope of a position/time graph is the speed (magnitude of velocity).If the graph's slope is changing, that means the speed is changing, andthat would be accelerated motion.