Answer: 22.54 m/s and 25.921 meters
Step-by-step explanation:
hey dog have you ever heard of these cool equations..
![v=v_(o) + at](https://img.qammunity.org/2022/formulas/physics/high-school/6iwib8sglfvhk2tmqx1iwp9827j7wmo6v0.png)
dude what DOES THIS MEAN??? ok ill tell you. velocity equals initial velocity plus acceleration times time. uhh... interesting.... hmm...
lets do some substitution...
we know that a means acceleration and gravity is a type of acceleration. ok?
![v = 0 + (9.8)(2.3)](https://img.qammunity.org/2022/formulas/physics/high-school/kmjlzub1nhnu9zzmmbe53alnvokq6dcuvq.png)
remember I PUT THE ZERO THERE BECAUSE IT STARTED AT REST
22.54 is the velocity
now for b. look at THIS COOL NEW EQUATION
![delta Y = (1)/(2)at^(2) + v_(o)t](https://img.qammunity.org/2022/formulas/physics/high-school/hwci53yfyqouggi0wu6zddggqhfk2nwyw5.png)
ok so i put delta Y but it can also be delta X it just means displacement... i put delta Y because these kids are falling straight down in a rollercoaster like space mountain or something... ok lets do some replacing am i right?...
![(1)/(2)(9.8)(2.3^(2)) + 0(2.3)](https://img.qammunity.org/2022/formulas/physics/high-school/2y7rerow1ue67ya4f44iy8kyrhi8ywg78r.png)
LISTEN! forget about the zero times 2.3 its just gonna be zero anyways.
so lets calculate... and we get 25.921 meters (or if you want to round to 2 sig figs then its 26 meters)
have a swag day