Create and solve a system of equations to solve the problem. 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)=0.5x + 7. 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)=-4.9(x - 5)2 + 37. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth. The paint brush passes by the can about seconds after the painter starts hoisting it up.
Create and solve a system of equations to solve the problem. 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)=0.5x + 7. 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)=-4.9(x - 5)2 + 37. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth. The paint brush passes by the can about seconds after the painter starts hoisting it up.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Create and solve a system of equations to solve the problem.
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 byh(t)=0.5x +7. Flve 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)=-49(x-5) + 37. When does the brush pass the paint can? If necessary, round your answer to the
nearest hundredth.
The paint brush passes by the can about
seconds after the painter starts hoisting it up.
10
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