Given the following velocity vs time graph create

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 Given the following velocity vs. time graph, create an appropriate position vs time

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

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

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)

Position vs. Time x Position (m) t Time (s)

Calculus analysis of position, velocity and time

Calculus analysis of position, velocity and time

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

 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

We kind of already knew that…. Calculus analysis of position, velocity and time x = vt + x 0

Calculus analysis of position, velocity and time

Calculus analysis of position, velocity and time

Calculus analysis of position, velocity and time

Calculus analysis of position, velocity and time

Calculus analysis of position, velocity and time

Calculus analysis of position, velocity and time