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 +8. 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 + 38. 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 +8. 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 + 38. 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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Question

Questlon
Create and solve a system of equations to solve the problem.
A billboard painter is using a pulley system to holist 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 glven by h (t) = 0.5x +8. 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
nearest hundredth.
+38. When does the brush pass the paint can? If necessary, round your answer to the
The paint brush passes by the can about
seconds after the painter starts hoisting it up.

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