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The deck of a bridge is suspended 205 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 = 205 - 16t". (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t= 2 and lasting the following amount of time. () 0.1 seconds ft/s (i) 0.05 seconds ft/s (ii) 0.01 seconds ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds. ft/s

The deck of a bridge is suspended 205 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 = 205 - 16t". (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t= 2 and lasting the following amount of time. () 0.1 seconds ft/s (i) 0.05 seconds ft/s (ii) 0.01 seconds ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds. ft/s

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Very rusty in calc can you jog my memory?
The deck of a bridge is suspended 205 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 = 205 - 16t. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (1) 0.1 seconds ft/s (ii) 0.05 seconds ft/s (ii) 0.01 seconds ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds ft/s
Transcribed Image Text:The deck of a bridge is suspended 205 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 = 205 - 16t. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (1) 0.1 seconds ft/s (ii) 0.05 seconds ft/s (ii) 0.01 seconds ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds ft/s
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