Projectile Motion at an Angle || Grade 9 Physics || Physics NotesJessaLogronio1
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In this lesson on projectile motion at an angle, we discuss what happens to the projectile's range and maximum height as its release angle varies.
Link to youtube video: https://www.youtube.com/watch?v=g9K2zE23gGQ&t=9s
Projectile Motion at an Angle || Grade 9 Physics || Physics NotesJessaLogronio1
Ā
In this lesson on projectile motion at an angle, we discuss what happens to the projectile's range and maximum height as its release angle varies.
Link to youtube video: https://www.youtube.com/watch?v=g9K2zE23gGQ&t=9s
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Energy is the ability to do work.
Everything that happens in the world uses energy!
Most of the time we canāt see energy, but it is
everywhere around us!
Hi! I am Shaira Gee Freesha Tajan and thjs captivating presentation is about the Factors Affecting Potential and Kinetic Energy. My presentation helps you to understand and not be perplexed about the difference of potential and kinetic energy. Please like my presentation :)
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This PPT covers projectile motion of an object in a very systematic and lucid manner. I hope this PPT will be helpful for instructors as well as students.
A projectile is an object upon which the only force acting is gravity. There are many examples of projectiles. An object dropped from rest is a projectile as long as that the influence of air resistance is negligible. An object that is thrown vertically upward is also a projectile provided that the influence of air resistance is negligible. And an object which is thrown upward at an angle to the horizontal is also a projectile as long as that the influence of air resistance is negligible. A projectile is any object that once projected or dropped continues in motion by its own inertia and is influenced only by the downward force of gravity.
Discusses projectile motion as two dimensional motion.
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3. +
Projectile Motion
ļ® Two-dimensional motion is called projectile motion.
ļ® Objects that are thrown or launched into the air and are subject
to gravity are called projectiles.
ļ® Some examples of projectiles are
ļ® Softballs,
ļ® Footballs
ļ® Arrows
4. +
ļ® The parabolic path which is common for all projectile motion is
called trajectory.
ļ® The horizontal distance covered by a projectile which returns its
original height is called the range of the projectile.
5. +
An object is
projected with an
initial velocity, vi, at
an angle of Īø.
Resolve the initial
velocity into its x and
ycomponents. Then,
the kinematic
equations can be
applied to describe
the motion of the
projectile throughout
its flight.
6. +
Suppose the initial velocity vector
makes an angle Īø with the
horizontal. Again, to analyze the
motion of such a projectile, you
must resolve the initial velocity
vector into its components.
vx,i= vicosĪø and vy,i= visinĪø
7. +
Example:
(a) Without air resistance, the soccer ball would
travel along a parabola.
(b) With air resistance, the soccer ball would
travel along a shorter path.
8. +
Example:
(a) A long jumperās velocity while sprinting along the runway can be
represented by a horizontal vector.
(b) Once the jumper is airborne, the jumperās velocity at any instant
can be described by the components of the velocity.
9. + We can substitute these values for v0x and v0y into the
kinematic equations to obtain a set of equations that
can be used to analyze the motion of a projectile
launched at an angle.
v0x=v0cosĪø For the motion on x
x = v0xt = v0cosĪøt axis
v0y=v0sinĪø
vy = v0y ā gt
Īy =v0yt ā (1/2)gt2 For the motion on y
Īy = (1/2)(v0y+vy)t axis
vy2 = v0y2 ā 2gĪy
The relation between
v2 = vx2 + vy2 speeds
10. +
Example
ļ® A ball is launched at a velocity of 8 m/s and an angle of 53o
with the horizontal line axis.
a) Calculate the time for the ball to reach its max. height.
b) How high will the ball rise?
c) What is the range of the ball?
d) What is the ballās velocity just before it strikes the ground?
11. +
Example
ļ® A rocket is launched at a velocity of 25 m/s and an angle of 37o
with the horizontal line axis.
a) Calculate the time for the ball to reach its max. height.
b) How high will the ball rise?
c) What is the range of the ball?
d) What is the ballās velocity just before it strikes the ground?