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Projectile motion
any object thrown, launched, impelled, or otherwise projected into the air (occurs when an object has vertical and horizontal motion)
Hotiontal and vertical motion components should be
seperate
no other force except for ___ is on vertical motion
gravity
what projectile motion is
all free fall
thrown, batted, or kicked
a cannon shot
what projectile motion is not
anything with an engine
any examples with air resistance
horizonatal projectile motion
rolling a marble off of a table,When an object is project straight out
In pies what graph must you use to differentiate between the horz and vert components
x | y
____|_____
|
|
when a ball falls or shoots out what’s the vert and horizontal motion
constant
problem solving components
use little exponents to differentiate between x and y
x and y are seperate
time is used for both
constants for y
a = -9.8
Vo = 0 m/s
constants for x
a = 0 m/s
what do you need in the horz and vert graph to solve the problem
3 knowns 1 unknown
Vector
requires magnitude and direction
two numbers to fully describe them
Magnitude
the amount
Direction
which way
typically at an angle
Example is
velocity
———>
Tail to head shows magnitdue while where it’s pointed shows direction
10 m/s and 30 degrees, what do each tell you about the arrow
10 m/s is the amount and 30 degrees is the direction
Resultant vector
the sum of several vectors
equilibriatn vectors
equal in magnitude and opposite in direction to the resultant vector (counter it)
Breaking down vectors at an angle
^ ^
| /
| /
/
|____________>
Vy = vertical component (up or down)
Vx = horizontal component (left to right)
Add vectors
from tail to head place them next to each other and then draw a line that is the sum of both
Different directions
head to tail except the second one is underneath, the resultant is what is left over
Angled vectors
/\ is from the tail of the first vector to the head of the last vector (usually a straight line between the two )
_
When launching at an angle, velocity is still
a vector, you must break it into vert and horiz components
When breaking the velocity of a vector you use what
trig
symmetry
moriton is symmetrical as long as projectile begins and ends at the same height
displacement Horizontally
equal to the first half and the second half (multiply by 2 to get the total displacement)
Displacment vertically
total displacement is zero
velocity horizontally
constant
velocity vertically
Voy = -Vy (initial velocity is equal to negative velocity)
Acceleration horizontally
none
acceleration vertically
-9.8 m/s2
Time (angeled vectors)
time in the first segment is equal to time in the second