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You drop a ball from a window 3.5m above the sidewalk. The ball accelerates at 9.8m/s2. How fast is ball moving when it hits the ground?
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\[x = x_{0} + v_{0}t + 0.5at^2\]
Here, you know x0 (3.5m), v0 (initial velocity), and acceleration. X would be 0, because you want to know the time when it hits the ground.
I'm guessing you solved, but you can solve for t, then differentiate the above equation to get the equation for velocity. Plug that time in for t. Ba-da-bing...
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