. Let function p(t) output the vertical position, in meters above ground level, of a ball exactly t seconds after being thrown from the top of a building. A. The value of p(0) provides the height of the ball the instant that the ball is thrown. Explain. B. If p' (t₁) is positive, the ball is moving upward at the instant t = t₁. If p' (t₂) is negative, the ball is moving downward at the instant t = t₂. Explain. C. The classical phrase "what goes up must come down" relates to the fact that the instant p' (t) = 0 corresponds to the instant that the ball attains its maximum height. Explain. D. The solution to the equation p(t) = 0 for which t is positive will provide the time at which the ball strikes the ground. Explain.
. Let function p(t) output the vertical position, in meters above ground level, of a ball exactly t seconds after being thrown from the top of a building. A. The value of p(0) provides the height of the ball the instant that the ball is thrown. Explain. B. If p' (t₁) is positive, the ball is moving upward at the instant t = t₁. If p' (t₂) is negative, the ball is moving downward at the instant t = t₂. Explain. C. The classical phrase "what goes up must come down" relates to the fact that the instant p' (t) = 0 corresponds to the instant that the ball attains its maximum height. Explain. D. The solution to the equation p(t) = 0 for which t is positive will provide the time at which the ball strikes the ground. Explain.
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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Please help with A, B, C, and D.
Transcribed Image Text:1. Let function p(t) output the vertical position, in meters above ground level, of a ball exactly t seconds after being thrown from the top of a building.
A. The value of p(0) provides the height of the ball the instant that the ball is thrown. Explain.
-
t₂. Explain.
B. If p' (t₁) is positive, the ball is moving upward at the instant t = t₁ . If p′ (t2) is negative, the ball is moving downward at the instant t
C. The classical phrase "what goes up must come down" relates to the fact that the instant p' (t) = 0 corresponds to the instant that the ball attains its
maximum height. Explain.
D. The solution to the equation p(t)
=
0 for which t is positive will provide the time at which the ball strikes the ground. Explain.
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