Calculus Derivative Problem

Posted on 2014-12-03 07:22:00 in Math by RICKIE

A weight is suspended on a spring above a table top. As the weight bounces up and down, friction decreases the amplitude of the motion. The figure attached shows the displacement.

a.) y(t) = 4 + 3e^(-0.1t)cos(pi*t), find an equation for the velocity.
I got e^(-0.1t)(-0.3cos(pi*t)- 3pi*sin(pi*t)

b.) There appears to be a high point at t = 2. Show that this is not a high point by showing that v(2) doesn t equal 0 and solve numerically to find the t value of the high point close to t = 2.

I don t really know how to go about solving for b so I d appreciate it if somebody could do b for me!

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