s(t) = −0.1t3 + 3t2 + 23t   (0 ≤ t ≤ 3) Calculate the motorcycle's average velocity (in ft/sec) over the time interval [2, 2 + h] for h = 1, 0.1, 0.01, 0.001, 0.0001, and 0.00001.

Q: An object with an initial velocity of – 85 m/s undergoes an acceleration of a(t) = 6t + 18 m/s“, t…

A: Given, v=-85 at t=0. a=6t+18

Q: The traffic fow rate past a certain point on a highway is q(t) = 1300 + 2000t – 270t² where t is in…

A:

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: In a rectangle, the width is one-third the length. The total perimeter is 40 inches. Find the length…

A: Solution: Given:    Width is one third of the length of rectangle     and the perimeter of rectangle…

Q: Let H(t) be the cost of heating a building in dollars per hour when the outside temperature is t…

A: Given that Ht be the cost of heating a building in dollars per hour when the outside temperature is…

Q: Let f(t) = 201·(1.002)12·t.  Find f(7).  Round your answer to 2 decimal places.

A:

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…