A potato is launched vertically upward with an initial velocity of 124 ft/s from a potato gun at the top of an 85-foot-tall building. The distance in feet that the potato travels from the ground after t seconds is given by s(t) = -81t? + 225t +3. ft/s (i) Find the velocity of the potato after 0.5 s (ii) Find the speed of the potato at 0.5 s = st/s (iii) Determine when the potato reaches its maximum height=

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

An object is thrown downward from the top of a tower. The distance in feet that it falls in t seconds is given by the following. s(t) = 16t2 + 14t (a) How far will the object fall in 3 seconds? feet (b) How far will the object fall in 5 seconds? feet (c) Find the average velocity from t = 3 seconds to t = 5 seconds. ft/sec

The deck of a bridge is suspended 285 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 = 285 − 16t2. (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. (i) 0.1 seconds  (ii)0.05 seconds  (iii)0.01 seconds  (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.

A potato is launched vertically upward with an initial velocity of 127 ft/s from a potato gun at the top of an 85-foot-tall building. The distance in feet that the potato travels from the ground after t seconds is given by s(t) = -64t2 + 200t + 4. (6) Find the velocity of the potato after 0.5 s = ft/s (6) Find the speed of the potato at 0.5 s = ft/s (éé) Determine when the potato reaches its maximum height= (iv) Find the acceleration of the potato at 0.5 s=,