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Velocity and Acceleration

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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 

v = velocity (m/s)

v_i = initial velocity

v_f = final velocity

\Delta v = change in velocity = v_f - v_i

v_{avg} = \frac{\Delta x}{\Delta t}

a = acceleration (m/s^2)

a_{avg} = \frac{\Delta v}{\Delta t}

First we must find convert mph to m/s 

\Delta v = 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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