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# Velocity and Acceleration

## The speed and direction of a moving object and how that rate changes over time.

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Practice 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?