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Projectile Motion at An Angle

The document discusses projectile motion, specifically objects launched at an angle, and emphasizes the use of sine and cosine functions to resolve initial velocity into horizontal and vertical components. Key concepts include maximum height, range, time of flight, and the parabolic trajectory of the motion. The analysis of projectile motion involves understanding how these components interact over time.

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Carol Fuentes
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8 views6 pages

Projectile Motion at An Angle

The document discusses projectile motion, specifically objects launched at an angle, and emphasizes the use of sine and cosine functions to resolve initial velocity into horizontal and vertical components. Key concepts include maximum height, range, time of flight, and the parabolic trajectory of the motion. The analysis of projectile motion involves understanding how these components interact over time.

Uploaded by

Carol Fuentes
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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PROJECTILE

MOTION Launched at an angle


USE COMPONENTS TO
ANALYZE OBJECTS LAUNCHED
AT AN ANGLE.
▪ Suppose the initial velocity vector makes an angle θ with the
horizontal.
▪ Again, to analyze the motion of such a projectile, you must
resolve the initial velocity vector into its components.
▪ The sine and cosine functions can be used to find the
horizontal and vertical components of the initial
velocity.
vx,i = vi cos θ and vy,i = vi sin θ
FORMULAS ▪

AND
ISOLATIONS
Maximum height
In Ymax, the Final Velocity in that point is zero

Xmax is known as Range


Initial Components of Velocity
The time it takes to reach the maximum height

The total flight time


PROJECTILE MOTION
▪ The general case of projectile motion involves an object projected at an
arbitrary
angle relative to the horizontal—for example, a golf ball hit by a club.
During projectile motion, the object travels up and down while traveling
horizontally with a constant velocity.
▪ The curve described by these equations, or the path of motion (trajectory) of
the projectile, is called a parabola.
▪ The path of projectile motion is often referred to as a parabolic arc.

Note that, as in the case of horizontal projection, time is the common feature
shared
by the components of motion. Aspects of projectile motion that may be of
interest in
various situations include the time of flight, the maximum height reached, and
the
range (R), which is the maximum horizontal distance traveled.
THE MAXIMUM RANGE (XMAX)

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