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Questions and Answers
What factors determine the trajectory of a horizontally launched projectile?
What factors determine the trajectory of a horizontally launched projectile?
The trajectory is determined by the horizontal velocity at launch.
How does the height from which a projectile is launched affect its time in the air?
How does the height from which a projectile is launched affect its time in the air?
The higher the launch height, the more time the projectile will spend in the air.
How is the range of a projectile influenced by its initial horizontal velocity?
How is the range of a projectile influenced by its initial horizontal velocity?
A higher initial horizontal velocity increases the maximum distance the projectile can travel.
In the context of Mario's challenge, what fundamental physics principle must he obey to determine if he reaches the mushroom?
In the context of Mario's challenge, what fundamental physics principle must he obey to determine if he reaches the mushroom?
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What role does time play in calculating the trajectory and range of a projectile?
What role does time play in calculating the trajectory and range of a projectile?
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Study Notes
Horizontally Launched Projectile Trajectory & Range
- A horizontally launched projectile follows a curved path called a trajectory.
- The trajectory is determined by the horizontal velocity at launch.
- Vertical and horizontal motions are independent.
- Gravity affects only the vertical motion.
- Horizontal velocity remains constant throughout the flight.
Projectile Trajectory Calculations
- An example problem provides a table.
- The table shows time (t) and horizontal velocity (Vx) with a constant horizontal velocity of 4 m/s.
Projectile Trajectory Definition
- Trajectory is the path a projectile takes from launch to landing.
- The path is influenced by the initial horizontal velocity .
Projectile Velocities
- Horizontal velocity (Vx) remains constant
- Vertical velocity (Vy) changes due to gravity.
- An example shows a projectile at various times with a horizontal velocity of 30 m/s.
Projectile Range
- Range is the horizontal distance traveled by a projectile.
- Range depends on horizontal velocity and the time the projectile stays in motion.
- Range increases with a higher launch height, leading to a longer time in flight.
Problem Solving Example (Think-Write-Pair-Share)
- A baseball is thrown horizontally from a 20 meter high stand at 10 m/s.
- Calculate the time the ball is in the air before hitting the ground.
- Calculate the horizontal range of the projectile.
Challenge Problem
- Mario drives a kart horizontally off a cliff.
- The initial velocity is 40 m/s.
- The cliff height is 200 m.
- The horizontal distance to the mushroom is 240 m.
- The problem involves determining if Mario can reach the mushroom.
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Description
Explore the fundamentals of horizontally launched projectiles, focusing on their trajectory, range, and the effects of gravity. This quiz covers the key concepts of horizontal and vertical motion, along with calculations related to projectile velocities and ranges. Test your understanding of how these elements interact to determine the path of a projectile.
