At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.1 m/s2. At the same instant a truck, traveling with a constant speed of 9.5 m/s, overtakes and passes the automobile.

At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.1 m/s². At the same instant a truck, traveling with a constant speed of 9.5 m/s, overtakes and passes the automobile.
(a) How far beyond the traffic signal will the automobile overtake the truck? 
(b) How fast will the car be traveling at that instant?

The position of an object moving in a straight line is given by x = 7t - 5 t 2 + 3t 3, where x is in meters and t in seconds.

The position of an object moving in a straight line is given by x = 7t - 5 t ² + 3t ³, where x is in meters and t in seconds.
(a) What is the position of the object at t = 1s? 
  What is the position of the object at t = 2?
  What is the position of the object at t = 3?
What is the position of the object at t = 4 s? 

(b) What is the object's displacement between t = 0 and t = 4 s?
(c) What is the average velocity for the time interval from t = 2 s to t = 4 s? 

Prior to adopting metric systems of measurement, the United Kingdom employed some challenging measures of liquid volume. A few are shown in the table (below). (a) Complete the table.

Prior to adopting metric systems of measurement, the United Kingdom employed some challenging measures of liquid volume. A few are shown in the table (below). (a) Complete the table.

 (b) The volume of 1 bag is equivalent to a volume of 0.1091 m³. If an old British story has a witch cooking up some vile liquid in a cauldron with a volume of 2.1 cauldrons, what is the volume in terms of cubic meters?

 

Hydraulic engineers often use, as a unit of volume of water, the "acre-foot", defined as the volume of water that will cover 1 acre of land to a depth of 1 ft. A severe thunderstorm dumps 2.5 in. of rain in 30 min on a town of area 44 km2. What volume of water, in acre-feet, fell on the town?|

Hydraulic engineers often use, as a unit of volume of water, the "acre-foot", defined as the volume of water that will cover 1 acre of land to a depth of 1 ft. A severe thunderstorm dumps 2.5 in. of rain in 30 min on a town of area 44 km². What volume of water, in acre-feet, fell on the town?|

A "gry" is an old English measure for length, defined as 1/10 of a line, where "line" is another old English measure for length, defined as 1/12 inch. A common measure for length in the publishing business is a "point", defined as 1/72 inch. What is an area of 0.55 gry2 in terms of points squared (points2)?

A "gry" is an old English measure for length, defined as 1/10 of a line, where "line" is another old English measure for length, defined as 1/12 inch. A common measure for length in the publishing business is a "point", defined as 1/72 inch. What is an area of 0.55 gry² in terms of points squared (points²)?