The deck of a bridge is suspended 215 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 215 – 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 3 and lasting the following amount of time. (i) 0.1 seconds 214.84 X ft/s (ii) 0.05 seconds 214.96 x ft/s (iii) 0.01 seconds 214.998 X ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds. 71 × ft/s

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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The deck of a bridge is suspended 215 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is
given by y = 215 – 16t2.
(a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 3 and lasting the following amount of time.
(i)
0.1 seconds
214.84
X ft/s
(ii) 0.05 seconds
214.96
X ft/s
(iii) 0.01 seconds
214.998
X ft/s
(b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds.
71
X ft/s
Transcribed Image Text:The deck of a bridge is suspended 215 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 215 – 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 3 and lasting the following amount of time. (i) 0.1 seconds 214.84 X ft/s (ii) 0.05 seconds 214.96 X ft/s (iii) 0.01 seconds 214.998 X ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds. 71 X ft/s
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