On Earth, in the absence of air friction, a rock thrown vertically upward at a velocity of 64 feet per second reaches a height of s(t) = 64t - 16t2 . a. Is the distance of the ball from the ground increasing or decreasing at t = 1? Justify. b. When would the rock be at its highest point?

On Earth, in the absence of air friction, a rock thrown vertically upward at a velocity of 64 feet per second reaches a height of s(t) = 64t - 16t2 . a. Is the distance of the ball from the ground increasing or decreasing at t = 1? Justify. b. When would the rock be at its highest point?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 42P: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s...

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Question

On Earth, in the absence of air friction, a rock thrown vertically upward at a velocity of 64 feet per second reaches a height of

s(t) = 64t - 16t².

a. Is the distance of the ball from the ground increasing or decreasing at t = 1? Justify.

b. When would the rock be at its highest point?

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