- #1
Pushoam
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Homework Statement
Homework Equations
I consider four directions from the point of throwing the balls, east, west, up, down. At any given time, the balls will be at different distance from this point, (the upward ball will travel less distance than the downward ball). So, it could not be a sphere with fixed center.
I think I should solve it instead of guessing the answer.
Taking cylinderical coordinate system taking origin at the point of throw , in which z- axis is the axis is the the axis along which gravitational force acts.
## z(t) = h + v_zt - \frac 1 2 gt^2 ## … (1) ## v_z = v \cos{ \theta } ## ……(2), where ##\theta## is the angle ##\vec v## makes with z-axis.
## z(t) = v \cos{ \theta }~ t - \frac 1 2 g t^2 ## … (1)
## s(t) = v \sin{ \theta }~t ## ……..(3)If there had been no gravitational force, the answer would have been a sphere centred at the point of throw with increasing radius i.e. opinion (a).
Because of the gravitational force, I guess that the center should go down and hence option (c).
But I don’t know how to show it using the above equations.
The Attempt at a Solution
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