Equations and Practice Problems

```Equations and
Practice Problems
By: Taide Baeza and Michael Campos
Chapter 1
 Significant Figures
 Conversions
 Scientific Method
 Prefixes
Prefixes
Power
Prefix
Abreviation
10-18
Atto-
a
10-15
Femto-
f
10-12
Pico-
p
10-9
Nano-
n
10-6
Micro-
10-3
Milli-
m
10-2
Centi-
c
10-1
Deci-
d
101
Deka-
da
103
Kilo-
k
106
Mega-
M
109
Giga-
G
1012
Tera-
T
1015
Peta-
P
1018
Exa-
E
Chapter 2
 Displacement
 Average Velocity
 Average Acceleration
 Displacement with Constant Acceleration
 Velocity with Constant Acceleration
 Final Velocity After Any Displacement
Displacement Sample
Problem
 During a race on level ground, Andrea runs
with an average velocity of 6.02 m/s to the
east. What is Andrea’s displacement after
137s ?
 Given: vavg = 6.02 m/s
∆T= 137s
 Unknown: ∆x = ?
∆x = vavg∆T = (6.02 m/s)(137s)= 825m to the
east
Average Velocity
Practice Problem
 A bus travels 280km south along a straight
path with an average velocity of 88 km/h to
the south. The bus stops for 24 min. Then, it
travels 210 km south with an average
velocity of 75 km/h to the south. What is the
average velocity for the total trip?
Average Acceleration
Sample Problem
 A shuttle bus slows down with an average
acceleration of -1.8 m/s2. How long does it
take the bus to slow from 9.0 m/s to a
complete stop?

Displacement With
Constant
A racing carAcceleration
reaches a speed of 42 m/s. It then begins a
uniform negative acceleration, using its parachute and
braking system, and comes to rest 5.5s later. Find the
distance that the car travels during braking.
Velocity and Displacement with
Constant Acceleration
 A plane starting at rest at one end of a runway
undergoes a uniform acceleration of 4.8 m/s2 for 15s
before takeoff. What is its speed at takeoff? How long
must the runway be for the plane to be able to take
off?
Final Velocity After Any Displacement
Chapter 3
 Pythagorean Theorem
 C2=A2+B2
 Soh Cah Toa
 Projectile That Falls from Rest
 Projectiles Launched at an Angle
Finding Magnitude and
Direction
Resolving Vectors