Suppose an object is thrown down from a cliff with an initial speed of 4 feet per sec, and its speed in ft/sec after t seconds is given by s(t) = 32t + 4. If the object lands after 6 seconds, how high (in ft) is the cliff? The cliff is feet tall

Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?

The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

An arrow is shot from the ground into the air at an initial speed of 108 ft/sec. Use the formula h=16t2+v0t to determine when the arrow will be 180 feet from the ground. Round the nearest tenth of a second.