A post needs to be driven into the ground by a mechanical hammer to facilitate some of the operations carried out in the manufacture of some engine parts. The distance it is driven by the first blow is 11 cm. Each subsequent blow drives the post 90% of the distance of the proceeding blow. If each blow takes 10 seconds how long will it take to drive the post at least 75cm into the ground What is the maximum distance the post can be driven into the ground?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A post needs to be driven into the ground by a mechanical hammer to facilitate some of the operations carried out in the manufacture of some engine parts. The distance it is driven by the first blow is 11 cm. Each subsequent blow drives the post 90% of the distance of the proceeding blow.

  1. If each blow takes 10 seconds how long will it take to drive the post at least 75cm into the ground
  2. What is the maximum distance the post can be driven into the ground?
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