Podcast
Questions and Answers
What primarily determines the trajectory of a horizontally launched projectile?
What primarily determines the trajectory of a horizontally launched projectile?
- The weight of the projectile
- The angle of the launch
- The horizontal velocity at launch (correct)
- The altitude from which it is launched
If a projectile is launched horizontally from a greater height, how does that affect its range?
If a projectile is launched horizontally from a greater height, how does that affect its range?
- The range depends solely on horizontal velocity
- The range remains unchanged
- The range increases due to more time in the air (correct)
- The range decreases significantly
Which factors most directly affect the time a projectile is in the air when launched horizontally?
Which factors most directly affect the time a projectile is in the air when launched horizontally?
- The surface area of the projectile
- The height of the launch point (correct)
- The speed of the projectile
- The mass of the projectile
In a scenario where Mario approaches a cliff, what is the critical factor that influences whether he can reach the mushroom?
In a scenario where Mario approaches a cliff, what is the critical factor that influences whether he can reach the mushroom?
What is the definition of the range of a projectile?
What is the definition of the range of a projectile?
Flashcards
Projectile Trajectory
Projectile Trajectory
The path a projectile takes from launch to landing. It's determined by the horizontal velocity at which the object is launched.
Projectile Range
Projectile Range
The maximum horizontal distance a projectile travels. It depends on the initial horizontal velocity and the time the projectile stays in the air.
Time in Air for a Projectile
Time in Air for a Projectile
The time a projectile spends in the air. It's determined by the height from which the projectile is launched.
Initial Horizontal Velocity (vix)
Initial Horizontal Velocity (vix)
The horizontal velocity of a projectile at launch. It remains constant throughout the projectile's flight.
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Launch Height
Launch Height
The height from which a projectile is launched. It directly affects the time the projectile stays in the air, influencing the projectile's range.
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Horizontally Launched Projectile Trajectory & Range
- A horizontally launched projectile follows a parabolic path
- The horizontal velocity remains constant throughout the flight
- The vertical velocity changes due to gravity
- Trajectory is determined solely by the initial horizontal velocity
- Range is the horizontal distance traveled before hitting the ground
- Range also depends on the height from which the projectile is launched
Projectile Motion Data
- Example: An object is thrown horizontally with a velocity of 4 m/s
- Time (sec) | Vx (m/s) | Vy (m/s)
- 0 | 4 | 0
- 1 | 4 |
- 2 | 4 |
- 3 | 4 |
- 4 | 4 |
Trajectory Details
- Trajectory is the path a projectile follows from launch to landing
- The trajectory is determined by the horizontal velocity at launch
- The vertical motion is solely influenced by gravity
Projectile Velocities
- Example: Projectile with an initial horizontal velocity of 30 m/s
- Time (sec) | Vx (m/s) | Vy (m/s)
- 0 | 30 | 0
- 1 | 30 |
- 2 | 30 |
- 3 | 30 |
- 4 | 30 |
Turn and Talk - Ranking Projectiles
- Rank projectile paths from longest to shortest flight time
- Factors influencing flight time: initial velocity and height of launch
- Faster initial velocity = shorter time in the air
- Higher initial launch height = longer time in the air
Range of Projectiles
- Range is the maximum horizontal distance a projectile travels
- Range depends on the initial horizontal velocity and the height from which the projectile is launched
- The higher the projectile is launched from, the greater the range will be since it is in the air for longer
Solving Projectile Word Problems
- Example: Baseball thrown horizontally from a grandstand
- Given initial horizontal velocity (10 m/s) and height (20 m)
- Find flight time and maximum range
Challenge Problem
- Mario is approaching a cliff.
- Initial horizontal velocity and height from launch point are given (40 m/s and 200 m)
- The problem involves calculating to determine if Mario can reach a mushroom placed a specific distance from the cliff ( 240 m away; 40 m high)
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