Transcript Projectile Motion

Projectile Motion
An Application Activity
Projectile Motion
When an object is dropped, it falls a distance of
{(-16feet) or (-9.81meters)}t2 in t seconds. This is
the force of gravity on any given object.
Projectile Motion
What happens to a
projectile that is
launched with some
initial vertical velocity,
v0, (measured in
distance units per
second at some initial
height h0 (measured in
distances units).
Projectile Motion
• Horizontal motion is uniform, and independent of
vertical motion.
• Vertical motion is free fall, and independent of
horizontal motion.
Projectile Motion
You know that a dropped object falls a distance of 16t2
feet in t seconds. When an object is not simply
released but is thrown or launched, it is called a
projectile. What happens to a projectile that is
launched with some initial vertical velocity, Vo
(measured in feet per second), at some initial height
ho (measured in feet).
Projectile Motion
• Without gravity to pull the
projectile its height h
Would increase according
to the equation h = vo t + ho
• With gravity, the projectile
falls 16t2 feet in t seconds.
• So the projectile’s height
at any time t is given by
H = -16t2 + v0t + h0
Projectile Motion
For a tennis ball, a baseball, and a model
rocket, Find,
• the maximum height,
• the time it reached that height and
• the time the object returns to earth
given the following velocities and starting
heights
Projectile Motion
h(t) = {(-16ft) or (-9.81m)}t2 + v0t + h0
Tennis ball
h0 = 0.8m, v0 =34.7m/sec
h0 = 1.0m, v0 =27.3m/sec
Baseball
h0 = 3.4ft., v0 =101mph
h0 = 2.7ft, v0=80.67ft/sec
Model Rocket
h0 = 0.4ft., v0 =670ft/sec
h0 = 2.4ft., v0 =490ft/sec