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# Physics - The Arrow

Projectile Motion

by

Tweet## Leah Reyes

on 5 April 2013#### Transcript of Physics - The Arrow

Physics - The Arrow by Leah Reyes All we got is time Last Step: final distance Last thing! OMG STOP STALLING The end!! Time for time! Remember Cold, Cold Isolation Know the equation? What is the equation for distance? There's a problem here... Just a note... What we need as of now, it's still Remember, this is horizontal distance. So the equation would look a little like this: We know our velocity and need to find distance. Why can't we finish the problem? v = v + a t Time only counts so long as the arrow is in the air. So what should we keep in mind? Let's isolate t... That's what we wanted, after all. Here's what we have! s = v × t s = 1590 m Yeah, that's it. Happy now? What Happened? Data Collection: Oh joy! Someone shoots an arrow from a bow at 45.0° with an initial velocity of a stunning 125 m/s... How far does it end up as it hits the ground? The Data We Have velocity: v = 125 m/s angle: A = 45.0° "Prepare for headaches" is your head tingling? [Well, that was annoying...] We want to know how far the arrow will go: distance! Reference??? By the way, refer to Chapter 4, page 120 in your book if you reaaaallllly want to follow along. ...not that you would. (right?) s = vt where: s = distance v = velocity t = time (sorry, no physics breaking today) s = v t x x ...oh yeah, the t. (no, not the d...) We don't know our time... yet. (not really applied for finals) Let's calculate horizontal velocity. The basic equation would be: |v | = |v| × cosA x 1. |v | = |125 m/s| × cos45.0° 2. |v | = 88.4 m/s x x v = 88.4 m/s x Let's try to find the value for t - time. f i Where: v = final velocity v = initial velocity a = acceleration t = time We are tracking vertical velocity! v = v + a t fy iy y t = v - v _________ a fy iy y Take note s = 88.4 m/s × t would look a little something like this... We're not quite using 125 m/s for this equation. Remember this? |v | = |v|cosA Let's work with a vertical one. (no, not quite like that...) Here's another basic equation: |v | = |v| sinA |v | = 125 m/s × sin45.0° |v | = 88.4 m/s y y y (it's a tad complicated from here...) f i t = v - v _______ a y fy iy t = 88.4 m/s - (-88.4 m/s) ______________________ 9.80 m/s (remember: vertical acceleration is acceleration due to gravity!) t = 18.0 s [about time!!] x x s = 88.4 m/s × 18.0 s Our arrow traveled a whopping 1,590 meters!! Song: Skyrim to the Knee by Rameses B (this is seconds)

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