Conceptual questions about projectile motion

In summary, when a projectile is launched and lands at the same level, the angle of launch and landing are the same. However, if the projectile is launched from a different height, the angles will be different. If the projectile hits the ground at a 45-degree angle, the horizontal and vertical components of velocity are equal. When calculating these components, the launch angle should still be used unless the projectile is landing at the same level it was launched at. In all projectile motion problems, it is important to separate the horizontal and vertical components and use the appropriate equations for each.
  • #1
vivekfan
34
0

Homework Statement


If the projectile is launched and lands at the same level. Then the angle is the same at launch and landing, correct? And if the projectile is launched from a different height, then the angle of launch is different than the angle of landing? In such a situation, if it says that a projectile hits the ground at an angle of 45 degrees, that tells you that final horizontal and vertical components are equal, right? But in calculating those components, you would still use the launch angle?


Homework Equations



x= vocos(theta)t
vfy= vosin(theta)-gt

The Attempt at a Solution



I have outlined my views above. I just need to confirm that I am thinking about the situations correctly.
 
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  • #2
But in calculating those components, you would still use the launch angle?

Not unless it was landing at the same level it was launched at.

If the level is different then the horizontal component is the same, but the vertical component of velocity is necessarily different, meaning that the |v| and the angle are necessarily different from the original |v| and angle of launch.
 
  • #3
Yes, I think all you wrote is correct.
The main thing in all these problems is to do the horizontal and vertical parts of the motion separately. Use x = vt horizontally and almost always y = Vot + .5at^2 and Vy = Vo + at vertically.
 

Related to Conceptual questions about projectile motion

1. What is projectile motion?

Projectile motion is the motion of an object through the air, or any other medium, under the influence of gravity. It is a type of two-dimensional motion where an object is launched into the air and moves along a curved path.

2. What factors affect the trajectory of a projectile?

The trajectory of a projectile is affected by the initial velocity, angle of launch, and the force of gravity. Air resistance and wind can also have an impact on the trajectory.

3. How does the angle of launch affect the range of a projectile?

The range of a projectile is the horizontal distance it travels before hitting the ground. The angle of launch can affect the range because it determines the initial velocity and the height of the projectile at its highest point. A larger angle of launch will result in a longer range, while a smaller angle will result in a shorter range.

4. Is the horizontal and vertical motion of a projectile independent of each other?

Yes, the horizontal and vertical motion of a projectile are independent of each other. The horizontal motion follows a constant velocity while the vertical motion is affected by the force of gravity. This is known as the principle of superposition in physics.

5. How do you calculate the maximum height of a projectile?

The maximum height of a projectile can be calculated using the formula h = (v02sin2θ)/2g, where h is the maximum height, v0 is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity (9.8 m/s2 on Earth).

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