Projectile Motion: Is Final Y Velocity Lower Than Initial? Impact on Time?

In summary, the conversation discusses the relationship between an object's final y velocity and its initial y velocity in projectile motion, and whether a decrease in velocity would result in an increase in time. The conversation also touches on the difference between average speed and instantaneous speed, and how acceleration affects the velocity in projectile motion.
  • #1
Nerdyboy
3
0
I was solving a projectile motion problem and was wondering if, while going downwards, an object's final y velocity can be less than the initial y velocity. If this is true, would this change the time until it hit the ground?

The only reason I was thinking about this is because if x/v = t. If v is smaller, doesn't time increase?
 
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  • #2


I believe you are talking about two different ideas: average speed and instantaneous speed. Yes, it velocity is lower than time must be larger in the equation you listed... but that is the average distance in (distance)/(velocity)=time. Instantaneous speed in projectile motion must ALWAYS be less than it was to start with, because there is downward acceleration on earth. This acceleration decreased velocity, but you don't use x/v=t... rather, you used the kinematics equations which take acceleration and such into account.
 

1. What is projectile motion?

Projectile motion is a form of motion in which an object or particle is thrown, launched, or otherwise projected into the air and then allowed to freely move under the influence of gravity. This type of motion follows a curved path known as a parabola.

2. How does initial velocity impact the final y velocity in projectile motion?

The initial velocity of a projectile is the velocity at which it is launched. In projectile motion, the final y velocity is impacted by the initial velocity because the initial velocity determines the vertical component of the projectile's motion. The higher the initial velocity, the higher the final y velocity will be, and vice versa.

3. Is the final y velocity always lower than the initial velocity in projectile motion?

No, the final y velocity is not always lower than the initial velocity in projectile motion. It depends on the angle at which the projectile is launched. If the angle of launch is 45 degrees, then the final y velocity will be equal to the initial velocity. However, if the angle of launch is greater than 45 degrees, the final y velocity will be lower than the initial velocity.

4. How does the impact time of a projectile change with the initial velocity?

The impact time of a projectile is the time it takes for the projectile to hit the ground or a target. The impact time is directly affected by the initial velocity of the projectile. The higher the initial velocity, the longer the impact time will be since the projectile will travel a longer distance.

5. How does air resistance affect the final y velocity in projectile motion?

Air resistance, also known as drag, can affect the final y velocity in projectile motion by slowing down the projectile's vertical motion. This results in a lower final y velocity compared to the initial velocity. However, the extent to which air resistance affects the final y velocity depends on factors such as the shape and size of the projectile, as well as the density and viscosity of the air.

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