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Questions and Answers
What primarily determines the trajectory of a horizontally launched projectile?
What primarily determines the trajectory of a horizontally launched projectile?
- The horizontal velocity at which it is launched (correct)
- The height from which it is launched
- The weight of the projectile
- The angle of launch
How is the range of a projectile affected by the initial velocity?
How is the range of a projectile affected by the initial velocity?
- Range is solely dependent on the launch angle
- Higher initial velocity increases the range (correct)
- Higher initial velocity decreases the range
- Higher initial velocity has no effect on the range
Which factor does NOT influence the time a projectile is in the air?
Which factor does NOT influence the time a projectile is in the air?
- The horizontal distance traveled (correct)
- The gravitational constant
- The initial vertical speed of the projectile
- The height from which the projectile is launched
In the context of projectile motion, what is the meaning of 'range'?
In the context of projectile motion, what is the meaning of 'range'?
If a projectile is launched horizontally with a velocity of 40 m/s from a height of 40 m, what might affect its actual landing distance?
If a projectile is launched horizontally with a velocity of 40 m/s from a height of 40 m, what might affect its actual landing distance?
Flashcards
Trajectory
Trajectory
The curved path a projectile follows from launch to landing.
Range
Range
The horizontal distance a projectile travels.
Horizontal Velocity (vix)
Horizontal Velocity (vix)
The horizontal velocity of a projectile, which is constant throughout its motion.
Time in the Air
Time in the Air
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Range & Time in the Air
Range & Time in the Air
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Study Notes
Horizontally Launched Projectile Trajectory and Range
- A horizontally launched projectile follows a parabolic path
- The horizontal velocity (Vx) remains constant throughout the flight
- The vertical velocity (Vy) changes due to gravity
- The trajectory is determined by the horizontal velocity at launch
- The vertical motion is independent of the horizontal motion
Projectile Motion Example
- Example: An object is thrown horizontally with a velocity of 4 m/s
- Time (seconds) | Vx (m/s) | Vy (m/s)
- 0 | 4 | 0
- 1 | 4 |
- 2 | 4 |
- 3 | 4|
- 4 | 4 |
Trajectory Definition
- Trajectory is the path a projectile follows from launch to impact.
Range Definition
- Range is the horizontal distance a projectile travels.
- Range depends on both the initial horizontal velocity and the time of flight.
- Higher launch height leads to longer time in the air, thus a greater range.
Additional Information
- Projectile motion equations can be used to find the range and time of flight.
- Example projectile problem includes a baseball thrown horizontally from a grandstand 20 meters above the ground at 10 m/s
- Calculate time of flight and the projectile’s maximum range before hitting the ground.
Challenge Problem
- Mario's kart (40 m/s initial horizontal velocity) approaches a cliff.
- The cliff is 200 meters high and 240 meters wide.
- Calculate if Mario can reach the mushroom (40 meters wide) at the edge of the cliff.
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