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A ball is dropped from the top of a building. The height of the ball in metres above the ground at : seconds after the drop is given by the function (t)=-4.9t² +19.6. a) What is the height of the building? b) When does the ball strike the ground? Estimate the instantaneous rate of change in the height of the ball at t = 5 seconds.

A ball is dropped from the top of a building. The height of the ball in metres above the ground at : seconds after the drop is given by the function (t)=-4.9t² +19.6. a) What is the height of the building? b) When does the ball strike the ground? Estimate the instantaneous rate of change in the height of the ball at t = 5 seconds.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. A ball is dropped from the top of a building. The height of the ball in metres above the ground at : seconds after the drop is given by the function h(t) = -4.9t² + 19.6. a) b) What is the height of the building? When does the ball strike the ground? Estimate the instantaneous rate of change in the height of the ball at t = 5 seconds.
Transcribed Image Text:3. A ball is dropped from the top of a building. The height of the ball in metres above the ground at : seconds after the drop is given by the function h(t) = -4.9t² + 19.6. a) b) What is the height of the building? When does the ball strike the ground? Estimate the instantaneous rate of change in the height of the ball at t = 5 seconds.
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