Given the following velocity vs. time graph, create an appropriate position vs time graph. Bellwork
Calculus analysis of position, velocity and time The slope of the position graph tells us value of the velocity The area under the velocity graph (specifically between the function and the xaxis) tells us the value of the position.
Calculus analysis of position, velocity and time The slope of the position graph tells us value of the velocity The area under the velocity graph (specifically between the function and the xaxis) tells us the value of the position.
Position vs. Time x Position (m) t Time (s)
Calculus analysis of position, velocity and time
Calculus analysis of position, velocity and time
It’s easy to see that graphically Calculus analysis of position, velocity and time
It’s easy to see that graphically Calculus analysis of position, velocity and time
It’s easy to see that graphically Calculus analysis of position, velocity and time
It’s easy to see that graphically Calculus analysis of position, velocity and time
We kind of already knew that…. Calculus analysis of position, velocity and time x = vt + x 0