PARABOLIC MOTION. Describing parabolic motion. Parabolic motion refers to the motion of an object that is thrown, or projected, into the air at an angle. Parabolic motion is a combination of horizontal motion with constant horizontal velocity and vertical motion
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Parabolic motion refers to the motion of an object
that is thrown, or projected, into the air at an angle.
Parabolic motion is a combination of horizontal motion
with constant horizontal velocity and vertical motion
with a constant downward acceleration due to gravity.
The vertical motion of a projected object is independent of
its horizontal motion.
The one common variable between
the horizontal and vertical motions is time.
Velocities vector of
and vertical motion
and vertical motion
Time of flight
Horizontal component of velocity is constant over entire path!
vx = v0x= v0cosa
No acceleration in horizontal direction
Vertical component of velocity constantly changing due to gravitational acceleration in -y direction
v0y --> 0 -> -v0y v0y = v0sina
At the top of the trajectory:
t = 1/2 of total time
x = 1/2 of total horizontal range
Horizontal motion of projectile:
vx = v0cos a= constant
Dx = v0xt = (v0cos a)t
Vertical motion of projectile:
vy = v0sin a - gt
Dy = (v0sin a)t - 1/2gt2
vy2 = (v0sin a)2 - 2gDy
Combined 2D motion:
v = (vx2 + vy2)1/2
tanq = vy/vx
q = tan-1(vy/vx)
-90 < q < 90
3. A truck (v = 11.2 m/s) turned a corner too sharp and lost part of the load. A falling box will break if it hits the ground with a velocity greater than 15 m/s. The height of the truck bed is 1.5 m. Will the box break?
v = 12 m/s, No it doesn’t break
4. A meatball with v = 5.0 m/s rolls off a 1.0 m high table. How long does it take to hit the floor?
t = 0.45 s
What was the velocity when it hit?
v = 6.7 m/s @ 42°