The deck of a bridge is suspended 265 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 = 265 – 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 ft/s (ii) 0.05 seconds ft/s (iii) 0.01 seconds ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds. ft/s Need Help? Read It
The deck of a bridge is suspended 265 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 = 265 – 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 ft/s (ii) 0.05 seconds ft/s (iii) 0.01 seconds ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds. ft/s Need Help? Read It
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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Transcribed Image Text:The deck of a bridge is suspended 265 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 = 265
16t?.
(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
ft/s
(ii) 0.05 seconds
ft/s
(iii) 0.01 seconds
ft/s
(b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds.
ft/s
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