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To maintain the velocity of a ball thrown up in the air, you would need to eliminate or counteract the forces that act to slow it down. In the absence of any external forces, such as air resistance, the ball would continue to move with a constant velocity. However, in the presence of forces like air resistance, maintaining the exact initial velocity becomes challenging.

Here are a few approaches you can consider to minimize the effect of external forces and try to maintain the velocity of a ball thrown up in the air:

  1. Minimize air resistance: Air resistance is a significant factor that slows down objects moving through the air. To reduce its impact, you can use a streamlined shape for the ball to minimize the surface area exposed to the air. Additionally, you can make the ball more aerodynamic by reducing any protrusions or irregularities on its surface.

  2. Throw the ball vertically: If you throw the ball directly upward, the force of gravity will act against the ball's motion, gradually slowing it down until it reaches its highest point. To maintain the initial velocity for as long as possible, throw the ball as vertically as you can to minimize the horizontal component of its motion, where air resistance has a greater effect.

  3. Minimize contact with other surfaces: Any contact with other surfaces, such as walls or the ground, can cause additional forces that slow down the ball. To maintain its velocity, ensure that the ball has a clear path without hitting any obstacles that could impede its motion.

  4. Consider external aids: Depending on the context and purpose, you may be able to utilize external aids to maintain the ball's velocity. For example, if you're performing an experiment, you could use a vacuum chamber to remove air resistance entirely. Alternatively, if you have access to specialized equipment like wind tunnels, you could control the air flow to minimize its effect on the ball.

While these measures can help reduce the impact of external forces, it's important to note that maintaining the exact initial velocity of a ball thrown up in the air is challenging due to factors like air resistance and the influence of gravity. Over time, these forces will inevitably cause the ball's velocity to decrease.

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