The deck of a bridge is suspended 295 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 = 295 − 16t2.
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
