Use the position function s(t) = -16t + vot + so for free-falling objects. A ball is thrown straight down from the top of a 700-foot building with an initial velocity of -40 feet per second. (a) Determine the position and velocity v(t) functions for the ball. s(t) = v(t) = (b) Determine the average velocity, in feet per second, on the interval [1, 3]. ft/s (c) Find the instantaneous velocities, in feet per second, whent = 1 and t = 3. v(1) = ft/s v(3) = ft/s

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter2: Representing Motion
Section2.4: How Fast?
Problem 29PP
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Use the position function s(t) = –16t2 + vot + s, for free-falling objects.
A ball is thrown straight down from the top of a 700-foot building with an initial velocity of -40 feet per second.
(a) Determine the position and velocity v(t) functions for the ball.
s(t) =
v(t) =
(b) Determine the average velocity, in feet per second, on the interval [1, 3].
ft/s
(c) Find the instantaneous velocities, in feet per second, whent = 1 and t = 3.
v(1) =
ft/s
v(3) =
ft/s
(d) Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places.)
(e) Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.)
ft/s
Transcribed Image Text:Use the position function s(t) = –16t2 + vot + s, for free-falling objects. A ball is thrown straight down from the top of a 700-foot building with an initial velocity of -40 feet per second. (a) Determine the position and velocity v(t) functions for the ball. s(t) = v(t) = (b) Determine the average velocity, in feet per second, on the interval [1, 3]. ft/s (c) Find the instantaneous velocities, in feet per second, whent = 1 and t = 3. v(1) = ft/s v(3) = ft/s (d) Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places.) (e) Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.) ft/s
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