v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x
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Transcript of v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x
![Page 1: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/1.jpg)
v = v0 + a ∆t
∆x = v0∆t + 1/2 a∆t2
v2 = v02 + 2a∆x
![Page 2: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/2.jpg)
To create equations for freely falling bodies, simply replace a with g.
![Page 3: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/3.jpg)
v = v0 + a ∆t
∆x = v0∆t + 1/2 a∆t2
v2 = v02 + 2a∆x
![Page 4: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/4.jpg)
v = v0 + g ∆t
∆x = v0∆t + 1/2 g∆t2
v2 = v02 + 2g∆x
![Page 5: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/5.jpg)
When freely falling bodies start from rest, v0 = 0, so:
v = g ∆t
∆x = 1/2 g∆t2
v2 = 2g∆x
![Page 6: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/6.jpg)
These equations refer to a situation with constant acceleration due to gravity and no air resistance. Such motion is called free fall.
![Page 7: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/7.jpg)
Example: A ball is dropped froma height of 10 meters. How long will it be in the air before it strikes the floor?
![Page 8: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/8.jpg)
Example: A ball is thrown vertically upward with a velocity of 100 m/s. (a) To what height will it rise? (b) How long will it take for the ball to fall back to the earth?
![Page 9: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/9.jpg)
Example: A ball drops from rest and attains a velocity of 62 m/s. How much time has elapsed?
![Page 10: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/10.jpg)
Example: How far did the ball in the previous problem fall during the third second?
![Page 11: v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x](https://reader036.fdocuments.us/reader036/viewer/2022082422/56812f10550346895d94acf3/html5/thumbnails/11.jpg)