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Mathematics, 20.05.2021 01:50 Tioquino8089

12) A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meter per second. The height of the can of paint as a function of time is given by h(t) = 0.5t.
Five seconds after he starts raising the can of paint, his partner accidentally kicks a paint brush off
of the scaffolding, which falls to the ground. The height of the falling paint brush can be
represented by h(t) = -4.90t - 5)2 + 30. When does the brush pass the paint can?

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