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Acceleration, Velocity, and Position Along a Plane Curve (Integration)

Using vector-valued functions to solve problems related to position and velocity of objects.

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Coaster Calculations

Have you ever calculated the velocity of a rollercoaster you rode? The odds are that the rush of the rollercoaster left you unable to do so. So nows your chance

This rollercoaster went from 0-135 mph in 3.15 seconds

The equations you can use are 

 velocity (m/s)

 initial velocity

 final velocity

 change in velocity 


First we must find convert mph to m/s 

 135 mph=60.44 m

so (60.44/3.15)=19.16m/s

Therefore the average velocity is 19.16

Creative Questioning:

1. How would you change the outcome of this question?(which factor would you have to change?

2.What is the relation between velocity and time?

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