Vertical Motion

Firestarter
Firestarter
In an ideal situation, If you dropped
a bullet next to a gun and fired the
same kind of bullet out of the gun in
a horizontal direction, which bullet
would hit the ground first? Why?
1 sec
4.9 m
2 sec
3 sec
19.6 m
Gravity pulls down on
both bullets at the same
rate. Each one falls at
9.8 m/s per second 44.1 m
regardless of the
horizontal velocity
PHYSICS PRINCIPLE:
HORIZONTAL MOTION IS
INDEPENDENT OF
VERTICAL MOTION
Vertical Leap – 5 ft 9 inch (1.75 m) tall Nate Robinson dunking over Spud Webb
(1986 Dunk Champ and 5 ft. 7 in. tall) at the Sprite™ 2006 Dunking Contest.
• Dunking videos
HOW TO
INCREASE YOUR
VERTICAL
LEAP?
Wondering Why Your Pathetic Little "Vertical
Jump Program“ Can't Do All Of This...?
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Read This... Only If You Absolutely Need To Know The Cold, Hard Facts On
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From: Luke Lowrey
the World's Undisputed #1 Vertical
Regarded as the World's
Leap Expert... and have been, ever
Undisputed #1 Vertical Leap
Expert Los Angeles, USA
since an elite training facility in…
1.2 m
0.4 m
0 sec 1
2
3
4
5
6
7
Use Plyometrics – The science of plyometrics
rests on the finding that muscles respond
especially well to being subjected to rapid
alternation of lengthening and shortening while
resistance is being continuously applied to them.
From the
Ultimate
Handbook
– Health &
Fitness
World Record Vertical Leap
Name: Kadour Ziani
Record Vertical Leap: 57” (1.44 m)
Height: 5’ 10” (1.78 m)
Weight: 156 lbs (71 kgs)
Nationality: French (Algerian)
Occupation: Slam Nation
VERTICAL MOTION FORMULAS
y = height, vyo = initial velocity, t = time, vy = final vertical velocity,
yo = initial height, and g = acceleration due to gravity
Distance formula
Velocity formula
BASIC FORMULA
FOR ALL SITUATIONS
y = yo ± vyot  ½gt2 vy = ±vyo gt
No initial velocity
(free fall) from ground
y = yo ± vyot  ½gt2 vy =± vyo gt
+ initial velocity from
ground
y = yo ± vyot½gt2 vy = ± vyogt
 Initial velocity from
ground
± yot  ½gt2 vy = v
± yo gt
y = yo v
No initial velocity
(free fall) from a cliff
y =yo ±vyot ½gt2 vy=
±vyo gt
+ initial velocity y = y +
2 v = ± v gt
v
t½gt
±
y
yo
o
yo
from a cliff
If an object goes up with an initial velocity of
vyo m/s…
…its final velocity will be –vyo
Vyo = 30 m/s
m/s…
Vy = –30 m/s
If an object takes t seconds to go up…
…it will take t seconds to go down.
tup = 3 s
Vyo = 30 m/s
tdown = 3 s
Vy = –30 m/s
Gravity takes about 10
m/s off your velocity
every second on the way up…
…and adds 10
m/s to your velocity on the way down.
Vy = 0 m/s
Vy = 10 m/s
Vy = 20 m/s
tup = 3 s
Vyo = 30 m/s
Vy = – 10 m/s
Vy = –20 m/s
tdown = 3 s
Vy = –30 m/s
Firestarter
If you fall in an elevator
and jump at the last
moment, is this helpful?
Why or why not?
Quasimodo is in the air for 3.4 seconds every time he
jumps off the trampoline. Find Quasimodo´s:
a)Time (in sec) to get up to his maximum height
b)Initial velocity (in m/s)
c)Final velocity (in m/s)
d)Maximum height (in m)
BONUS: Quasimodo´s velocity at 2.5 seconds
Wow!