Does Launch Angle Affect Speed at Impact with Air Resistance?

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In summary, the launch angle of an object on a water slide will affect the distribution of its speed in the horizontal and vertical directions. If the angle is more horizontal, the object will have a higher forward velocity and if it is more vertical, it will have a higher downward velocity. However, the total velocity when hitting the water will be the same regardless of the angle, if air resistance is not considered. With air resistance, a steeper angle will result in a lower total velocity due to the object spending more time in the air. The change in velocity caused by air resistance may be negligible depending on the desired accuracy.
  • #1
barca12345
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Dear physics forum,

If an object is launched from a water slide with an angle theta, would the angle of launch affect the speed of the object right before contact with the landing pool, with air resistance considered?

Thanks.
 
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  • #2
The launch angle affects how much of the speed will be in which direction. For example, if the launch angle is perfectly horizontal, most of the velocity will be forward rather than downward. Whereas if the launch angle is more vertical, you will go up in the air, and then on the way down you will have more of a downward velocity than before (and so the person would go deeper into the water instead of "running into" the water).

But either way (ignoring air resistance) you will have (about) the same total velocity when you hit the water.If you consider air resistance though, then there will be a lesser total velocity if you have a steeper angle, for the simple fact that you will be in the air (bumping into particles) for a longer time.

The change in velocity due to air resistance could be more or less negligable, though. (Depends on the accuracy you want.)
 
  • #3
When air resistance is ignored, the projectile will only be accelerated by gravity. I would think the velocity when hitting the water would then be exactly the same for all angles, only the distribution over the x and z component are depending on the angle.
 

1. What is a projectile?

A projectile is any object that is launched or thrown into the air and moves along a curved path due to the force of gravity acting on it.

2. What are the factors that affect projectile motion?

The factors that affect projectile motion include the initial velocity, angle of launch, air resistance, and the force of gravity.

3. How is the trajectory of a projectile calculated?

The trajectory of a projectile can be calculated using the equations of motion, which take into account the initial velocity, angle of launch, and acceleration due to gravity.

4. What is the difference between a projectile and a free-falling object?

A projectile is any object that is launched or thrown into the air, while a free-falling object is an object that is only affected by the force of gravity and does not have an initial horizontal velocity.

5. Why is it important to understand projectile motion?

Understanding projectile motion is important in many fields, such as engineering, physics, and sports, as it helps in predicting the path of an object and determining its maximum height and range. This knowledge is also crucial in designing and analyzing various devices and machines that involve projectile motion, such as rockets and projectiles in sports like baseball or golf.

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