If a ball is thrown upward with velocity of 1m/s, is vx = 0 while vy= 1?

In summary, when a ball is thrown upward with a velocity of 1m/s, the values of vx and vy will depend on how the axes have been chosen. If the y-axis is pointing straight up, then vx will be zero and vy will be 1. However, if the x-axis is chosen to point straight up, then vx will be 1 and vy will be zero. Other axis choices may result in different values for vx and vy. It is important to stick with one axis convention throughout the problem to avoid confusion.
  • #1
cmkc109
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If a ball is thrown upward with velocity of 1m/s, is vx = 0 while vy= 1?
 
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  • #2
cmkc109 said:
If a ball is thrown upward with velocity of 1m/s, is vx = 0 while vy= 1?

Yes, assuming that the ball is thrown straight upwards and the y-axis has been chosen to point straight up.

And now that you have the easy yes/no answer that you were looking for...

You could have chosen the x-axis to point straight up, in which case vx would be 1 and vy would be zero.

Or you could have chosen both axes sloping in opposite directions at a 45-degree angle to the ground. In this case both vx and vy would be equal to √2/2 and there's nothing wrong with that choice except that it complicates the math for no good reason.
 
  • #3
if i choose x-axis to point straight up, does that mean ay= 0 and ax= -9.8m/s^2?
 
  • #4
cmkc109 said:
if i choose x-axis to point straight up, does that mean ay= 0 and ax= -9.8m/s^2?

Yes.
 
  • #5
ok thx!
 
  • #6
cmkc109 said:
if i choose x-axis to point straight up, does that mean ay= 0 and ax= -9.8m/s^2?

This is a 'confidence thing" I think. When you're a student and the teacher draws axes on the blackboard, everyone thinks "Why ever did she choose that set of axes?". The answer is pretty much always that they have found that they get the right answer to that problem quicker and easier that way.
There's a great example where you are dealing with objects on an inclined plane - do you use vertical and horizontal axes or do you use parallel and normal to the plane? It doesn't really matter but one way will turn out easier for some problems and the other will turn out better for others.
The only thing you need to remember is to keep rigidly with whatever convention you started with for the whole duration of your answer. The up/down thing can give you grief, too.
 

1. What is the initial velocity of the ball?

The initial velocity of the ball is 1m/s, which is the velocity at which the ball is thrown upwards.

2. Is there any horizontal velocity (vx) when the ball is thrown upwards?

Yes, there is horizontal velocity (vx) when the ball is thrown upwards. However, it remains constant at 0m/s throughout the motion.

3. Is the vertical velocity (vy) equal to the initial velocity?

Yes, the vertical velocity (vy) is equal to the initial velocity. This is because there is no acceleration in the horizontal direction, so the velocity remains constant at 1m/s.

4. Will the vertical velocity (vy) change while the ball is in motion?

Yes, the vertical velocity (vy) will change while the ball is in motion. As the ball moves upwards, the vertical velocity will decrease due to the force of gravity. Once the ball reaches its maximum height, the vertical velocity will become 0m/s before it starts to fall back down.

5. What is the value of the horizontal velocity (vx) at the maximum height of the ball?

The value of the horizontal velocity (vx) remains constant at 0m/s at the maximum height of the ball. This is because there is no acceleration in the horizontal direction, so the velocity remains the same throughout the motion.

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