angle (6) - a numerical value
in degrees (°) expressing the
orientation of the projectile to
be thrown/projected
ペー テー HORIZONTALLY
LAUNCHED
PROJECTILES
ANGLE LAUNCHED
PROJECTILES
HORIZONTAL MOTION
X-component
v” Neglect air resistance.
< There is a constant horizontal velocity.
(Ve)
Y Horizontal acceleration is 0. ax = 0
v We call the horizontal distance as RANGE.
(dy
VERTICAL MOTION
Y-component
The force acting upon in this motion is the force of
(9 = a, =a,) (9 = -9.8m/s?)
/ Vertical velocity is not constant. Vy
( We call the vertical distance as the height.
h=d,
Vx - horizontal velocity responsible
for the projectile to travel ata
horizontal distance
Vy - vertical velocity responsible for
the projectile to travel at a vertical
height - the vertical distance
distance from the
projectile to the earth's
surface
#…
Vy
range - horizontal distance covered by |
the projectile
A core is CET
horizontally from a tabletor
with a velocity of 1.50m/s.
The marble falls 0.70 m
away the table's edge.
Find the ff:
a) How high is the table?
b) What is the final
velocity of the marble
just before it hits the
cup? a
A AAA
—WxV¡=1.50m/s | |
E i ・ A marble is thrown
= = horizontally from a tabletop
| with a velocity of 1.50m/s.
The marble falls 0.70 m
away the table's edge.
Find the ff:
の a) How high is the table?
b) What is the final
velocity of the marble
just before it hits the
cup?
==
d, = 0.70m
V; = 1.50 m/s
ay = 9.8 m/s?
a) How high is the table?
0.70
C="Ts0m/s の
y
t=0.47 s
a,
dy
dy = y, agt?
d
V;
(9.8 m/s?) (0.475)?
_ (98 mie) (0.220957)
2
2.16482 m /2
1.08 m
ax = 0.70m Formula: |YR = /Vfy? + Vfx2
Vix = 1.50 m/s
ay = 9.8 m/s?
dy = 1.08m Take note: (a,= 9)
b) What is the final velocity of the marble just before it hi
the cup?
Vey テーy(2)(9.8 m/s?)(1.08 m)
Yy=- [21.168 me/ 了
Vpy =-4.6 m/s (-) indicates downward direction
ıven
dx = 0.70 m Formula:|Vp = /Vfy2 +Vfx2
Vix = 1.50 m/s Es ty f
= 2
% Em Take note: V; = Vix = Vrx = We
Vey = 一 4.6 m/s
b) What is the final velocity of the marble just before it hits
the cup?
Va= J(-4.6 m/s)? + (1.50 m/s)?
Va ニー 21.16 m?/s? + 2.25 m?/s?
Va= 23.41 m/s?
Ve= 4.84m/s
(displacement)
Vi (initial Velocity)
Vy (Final Velocity)
Viy = — |2gdy
(-) sign means downward direction
a,=0 a,=g
€ ( Acceleration)
d
t=> za,
E (Time) P t= PA