 # Physics 2010.  Free fall with an initial horizontal velocity (assuming we ignore any effects of air resistance)  The curved path that an object follows.

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Physics 2010

 Free fall with an initial horizontal velocity (assuming we ignore any effects of air resistance)  The curved path that an object follows when thrown or launched near the surface of Earth is called a trajectory

 Any object that is thrown or launched into the air and are subject to gravity  Projectiles follow perfect parabolic trajectories when air resistance is neglected

 Constant when air resistance is neglected  At any point in a projectile’s path, horizontal velocity is the same initial horizontal velocity

 Acceleration is a constant -9.81 m/s 2  At the peak of a projectile’s path, vertical velocity is zero

 The horizontal and vertical components of motion are completely independent of one another.

Horizontal Motion Vertical Motion Forces (present? Yes or no?) (if present, which direction? NoYes Downward Acceleration (present? Yes or no?) (if present, which direction? NoYes Downward Velocity (constant or changing) ConstantChanging

a. Determine how much time it takes to fall.

b. Determine how far from the base of the cliff it is when it hits the ground.

c. Determine how fast it is moving vertically when it hits the ground.

d. Determine what its total velocity is when it hits the ground.

 Determine the initial horizontal velocity of the soccer ball.

 How far downrange will the bullet hit the ground?

Physics 2009

 Define projectile motion  Define projectile  Describe the horizontal motion of a projectile  Describe the vertical motion of a projectile  Describe the shape of a projectile’s path  Explain the relationship between horizontal and vertical motion of a projectile  Solve problems relating to projectiles launched horizontally

a. How high will it go?

b. How much time does it spend in the air?

c. How far away from you will it hit the ground?

d. What is the ball’s velocity when it hits the ground?

a. Find the range of the ball.

b. Find the maximum height of the ball.

a. Find its “hang time” (time that the ball is in the air).

b. Find the distance the ball travels before it hits the ground.

c. Find its maximum height.

 One dimensional motion equations still apply.  You will need to resolve the initial velocity into its x- and y-components to separate the horizontal from the vertical motion.  Always keep the horizontal information separate from the vertical information in the problem.

 Find its position and velocity after 8.00 s.

 Find the time required to reach its maximum height.

 Find the range of the projectile.

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