When we now put it all together for this case, we end up with
r(t)
= r0
+ v0t
- gt2/2
=
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(
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)
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+
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(
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)
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t -
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(
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)
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t2/2
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which in components can be written as follows
x(t)
= v0xt
and
y(t)
= v0y
- gt2/2
Similarly, for the velocity we arrive at
vx(t)
= v0x
and
vy(t)
= v0y
- gt
Next, Walter Lewin studies
some charistics of free fall with initial velocity.
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