5. A ball is launched vertically into the air from a height of h meters and with an initial upward velocity of u meters/second. The ball's height above ground is given by the equation H(t) = -4.9t² + vt +h, where H is in meters and t is in seconds. (This is the metric version of the gravity model.)
5. A ball is launched vertically into the air from a height of h meters and with an initial upward velocity of u meters/second. The ball's height above ground is given by the equation H(t) = -4.9t² + vt +h, where H is in meters and t is in seconds. (This is the metric version of the gravity model.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(a) Write an equation to model the height of a ball thrown from a height of 2 meters off the ground,
with an initial upward velocity of 40 meters/second.
(b) How long is the ball in the air?
(c) What is the maximum height reached by the ball?
if I holow
Transcribed Image Text:5. A ball is launched vertically into the air from a height of h meters and with an initial upward velocity
of u meters/second. The ball's height above ground is given by the equation H(t) = -4.9t2 + vt + h,
where H is in meters and t is in seconds. (This is the metric version of the gravity model.)
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