AP Physics – Homework –1
1. How many centimeters are there in 2.35 m?
235 cm
2. How many significant figures do each of the following measurements contain?
12.5 m
3
105 cm
3
100.00 s
5
2.5 x 103 years
2
3. The floor on a room measures 2.3 m x 6 m. What is the area of the floor?
Al x w
A  13.8 m 2
A  2.3 m x 6 m

10 m 2
4. What is the area of a circle that has a diameter of 25 in? What is its circumference?
A   r2
A    25 in 
2
A  1963 in 2 
2.0 x 103 in 2
5. Convert 12.5 km/h to m/s.
12.5
km  1000 m  1 h 


 
h  1 km  3600 s 
3.47
m
s
6. The ark measured 300.0 cubits long by 30.0 cubits high by 50.0 cubits wide. A cubit is around 18 inches
in length. How many cubic feet did the ark contain?
V  lwh
V  300.0 cubits  30.0 cubits  50.0 cubits  450 000 cubits 3
 1 ft 
18 in 
  1.5 ft
 12 in 
3
1.5 ft 
V  450 000 cubits 
 
 1 cubit 
3
1500 000 ft 3
or 1.5 x 106 ft 3
7. The volume of a sphere is 4/3r3. A sphere that has a radius of 5.00 m could contain how many spheres
that have a diameter of 5.00 cm?
4
V   r3
3
4
4
3
3
V    5.00 m   523.6 m3
V    0.05 m 
3
3


1
523.6 m 3 
 100 x 104 
1.00 x 106
 5.236 x 104 m 3 


 5.236 x 104 m3
8. You walk north for 2.5 miles. Then you walk east a distance of 3.0 miles. How many miles from the
starting point are you?
2
2
2
2
2
2
2
c  a  b   2.5 mi    3.0 mi 
c  a b

3.9 mi
9. A compartment measures 12 feet by 15 feet. How many tiles would it take to cover the deck if the
square tiles measure 8.0 inches to the side?
A  l x w  12 ft x 15 ft
Atile   0.667 ft 
2
 180 ft 2
 0.445 ft 2
 1 ft 
8 in 
  0.667 ft
 12 in 




1
180 ft 2 

405 tiles

2
 0.445 ft 


tile 
