• Melchior25
In summary, a parabolic trajectory is a path followed by a projectile with a constant horizontal velocity and a vertical velocity affected by gravity. The maximum height of a parabolic trajectory can be calculated using a formula involving the initial velocity, launch angle, and acceleration due to gravity. Air resistance can cause deviations in the trajectory, particularly for objects with larger surface areas and slower velocities. The launch angle is a crucial factor in determining the range of a parabolic trajectory, with a 45 degree angle resulting in the maximum range. Real-life applications of parabolic trajectories include sports, space exploration, and military applications.
Melchior25

Homework Statement

As a projectile moves through its parabolic trajectory, which of these quantities, if any, remain constant? (Neglect air resistance. Select all that apply.)
True acceleration
True horizontal component of velocity
False speed
False vertical component of velocity
False none of these

True = Constant
False = Not_Constant

Could someone please check my answers to this problem. I want to make sure I don't have any incorrect.

They are correcct.

Thanks, qspeechc for checking.

1. What is a parabolic trajectory?

A parabolic trajectory is a path traced by a projectile in which the horizontal component of its velocity remains constant, while the vertical component of its velocity is affected by gravity.

2. How do you calculate the maximum height of a parabolic trajectory?

The maximum height of a parabolic trajectory can be calculated using the formula: h = (v02 * sin2θ) / 2g, where v0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

3. Can a parabolic trajectory be affected by air resistance?

Yes, air resistance can affect the trajectory of a projectile, causing it to deviate from a perfect parabolic path. This is more noticeable for objects with larger surface areas and slower velocities.

4. How does the launch angle affect the range of a parabolic trajectory?

The launch angle is a crucial factor in determining the range of a parabolic trajectory. The maximum range is achieved when the launch angle is 45 degrees. Any angle greater or less than 45 degrees will result in a shorter range.

5. What are some real-life applications of parabolic trajectories?

Parabolic trajectories are commonly used in sports such as basketball, football, and golf to calculate the trajectory of a ball. They are also used in space exploration, such as the trajectory of a spacecraft orbiting a planet. In addition, parabolic trajectories are used in military applications to calculate the trajectory of missiles and other projectiles.

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