2-8 Literal Equations and Dimensional Analysis
A person who is 64 inches tall and has a body mass index of 21.45 is about 125 pounds.
PHYSICS Acceleration is the measure of how fast a velocity is changing. The formula for acceleration is a =
. a represents the acceleration rate, v
is the initial velocity, and t represents the time
v
f
i
in seconds.
a. Solve the formula for v
.
f
b. What is the final velocity of a runner who is accelerating at 2 feet per second squared for 3 seconds with an initial
velocity of 4 feet per second?
a.
b. To find the final velocity of a runner who is accelerating at 2 feet per second squared for 3 seconds with an initial
velocity of 4 feet per second, replace a with 2, t with 3, and v
with 4.
i
2
The final velocity is 10 ft/s
.
SWIMMING If each lap in a pool is 100 meters long, how many laps equal one mile? Round to the nearest tenth.
(Hint
There are 5280 feet in 1 mile. Multiply by the conversion factor such that the unit feet is divided out to find the
number of meters in a mile.
Because each lap is 100 meters long, multiply the number of meters in a mile by the conversion factor to find the
number of laps in one mile.
About 16.1 laps equal 1 mile.
CCSS PRECISION How many liters of gasoline are needed to fill a 13.2-gallon tank? There are about 1.06 quarts
per 1 liter. Round to the nearest tenth.
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Since the given conversion relates quarts to liters, convert 13.2 gallons to quarts first by multiplying by the conversion
factor so that the unit gallons is divided out.