Two balls are launched at the same time from opposite sides of a $ 100 $ $ \text{m} $ wide and $1000 ~\text{m}$ canyon. Ball A is launched at $ 20 $ $ \text{m/s} $ at $ 45^{\circ} $ from the left side. Ball B is launched at $ 20 $ $ \text{m/s} $ at $ 45^{\circ} $ from the right side.

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Two balls are launched at the same time from opposite sides of a $ 100 $ $ \text{m} $ wide and $1000 ~\text{m}$ canyon. Ball A is launched at $ 20 $ $ \text{m/s} $ at $ 45^{\circ} $ from the left side. Ball B is launched at $ 20 $ $ \text{m/s} $ at $ 45^{\circ} $ from the right side.(a) Do the balls collide mid-air?
, (b) If so, at what time and height?
, (c) What is their horizontal separation $ 1.5 $ $ \text{s} $ after launch?
:

Jason · Accepted Answer

$\text{Yes}$
$t = \frac{5\sqrt{2}}{2}\,\text{s},\ y = -11.25\,\text{m}$
$\Delta x \approx 57.6\,\text{m}$

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