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Question 1:
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This one should be simple, I already have the answers to a, b and c. But for some reason I can't seem to remember how to calculate d. That is if the motion of an object (in this case a ball) can be modeled by a parabola, then what was the initial angle the ball was fired at (in radians)? Any pointers on this one would be vastly appreciated.
Question 2:
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This is how I worked through the problem:
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But obviously my answer is incorrect, so if anyone could help explain where in my steps to solve the question I went wrong, that would be fantastic.
Question 3:
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This question is flooring me at the moment, I have no clue where to start or even what the notation in the second line of the question is referring to. If someone could set me on the path to solving for a, b and c I would be most thankful
When , we see that in the exponent we have . Thus,
We then end up with the first term in the outermost series:
Now, when :
we see that in the exponent, . Thus,
Now, let's focus on
When , we have
When , we have
Thus,
So we now see that
So, we then see that
Does this make sense?
--Chris
(1) a) Let the equation of the parapola is
since it passes through (0, 0), put this in eqn, we got, c=0.
So, the eqn becomes,
since it passes through (10, 100),
Since it passes through (12, 112),
Now, you solve (1) and (2),to find a and b. we got
Put the value of a and b to get the equation.
equation is
b)
so, the maximum height reached is
c) For horizontal distance, put y=0
Horizontal distance = 40 -0 = 40 m
Now, you try the last (d) part.