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
icon
Related questions
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.
Transcribed Image Text: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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 13 images

Blurred answer
Knowledge Booster
Systems of Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,