We saw in class, through Galileo's experiments, that an object's motion can be split and the vertical motion can be analyzed apart from the horizontal motion. Let's start with a one- dimensional motion first. Analyzing the motion of a vertical projectile: Imagine (and/or actually do this to get a sense of what happens) you are standing straight while holding a ball in your hand at your side. The ball is at rest at a height of about 0.5 meters above the ground. You move to throw the ball straight up in the air as hard as you can. The ball leaves your hand at around chest-high (let's say this is 1.2 m above the ground). a) What is happening to the ball's motion while it is in contact with your hand? b) At what point does your hand stop affecting the ball's motion? c) What is the ball's velocity at the moment it reaches it's maximum height? d) What is the ball's velocity when it has fallen back to the chest-high position, or 1.2 m above the ground?
We saw in class, through Galileo's experiments, that an object's motion can be split and the
vertical motion can be analyzed apart from the horizontal motion. Let's start with a one-
dimensional motion first. Analyzing the motion of a vertical projectile:
Imagine (and/or actually do this to get a sense of what happens) you are standing straight while
holding a ball in your hand at your side. The ball is at rest at a height of about 0.5 meters above
the ground. You move to throw the ball straight up in the air as hard as you can. The ball leaves
your hand at around chest-high (let's say this is 1.2 m above the ground).
a) What is happening to the ball's motion while it is in contact with your hand?
b) At what point does your hand stop affecting the ball's motion?
c) What is the ball's velocity at the moment it reaches it's maximum height?
d) What is the ball's velocity when it has fallen back to the chest-high position, or 1.2 m above
the ground?
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