A mouse on a tightrope is moving such that its position relative to some fixed point is given by x(t)=−2/3t^3+9t^2−36t+18 where x is measured in centimeters and tt is measured in seconds. Write an expression for the mouse's velocity. v(t)=v(t)=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A mouse on a tightrope is moving such that its position relative to some fixed point is given by x(t)=−2/3t^3+9t^2−36t+18 where x is measured in centimeters and tt is measured in seconds.

Write an expression for the mouse's velocity. v(t)=v(t)=  

What is the mouse's velocity when t=4t=4? cm/s


 Write an expression for the mouse's acceleration. a(t)=a(t)=  

 What is the mouse's acceleration when t=4t=4? cm/s2


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