Don't guess... GUESS!
Identify and Rearrange the Equation (algebra)
Problem Solving
Units
100

What do the G and U in GUESS stand for?

Givens and Unknowns (your first step in tackling problems!)

100

A car moves 158m forwards before reversing and traveling for 682m backwards. What is the car's displacement?

Δx = xf - xi

100

Over 1.8 seconds, an apple rolls 22m to the right, then rolls 11.5m to the left. What is its average speed?

18.6 m/s

100

What are the units most commonly used for time?

seconds (s)

200

What do you Solve (the first S) your equation for?

The unknown! (get the Unknown alone!)

200

A jet flies 2600 miles in 5 hours. What is its average velocity?

v = Δx / Δt

200

What is the average velocity of a basketball that starts at half court, is shot into a net that is 20m away, and then brought back to be 1m in front of half court. It takes 100s.

What is the average velocity of the basketball?

.01 m/s

200

What are the units for distance?

meters (m)

300

Anytime you do algebra to get a variable alone, what order do you follow?

SADMEP (reverse PEMDAS)

300

A car starts at rest, and accelerates until it reaches a velocity of 18.6 m/s. If this takes 8 seconds, what was the acceleration of the car?

a = Δv / Δt 

300

A race car starts at rest and ends up moving -75.8 m/s. This takes 12.5 s. What is the acceleration the car experienced?

-6.064 m/s2

300

What are the units for displacement?

meters (m)

400

v = vi + at

Solve this equation for time.

  v - vi

----------   =      t

     a

400

A car with a velocity of 12.8 m/s travels for 500 seconds. How far does it travel? 

v * Δt = Δx

or

Δx = Δt * v

400

An astronaut experiences 8.2 m/sof acceleration over 81.2s. What is the change in velocity they experience?

665.84 m/s

400

What are the units for velocity?

meters per second (m/s)

500

Δx = vit + (1/2)at2


Solve this equation for acceleration.

2(Δx - vit)

-------------    =    a

       t2

500

An object is moving along with a velocity of 3.66 m/s. It accelerates at 0.9 m/suntil it reaches a velocity of 10.12 m/s. How long did this take?

Which equation would you use to solve this problem?

Δt = Δv / a

500

An object is traveling along with a velocity of 5.16 m/s when it accelerates at -1.51 m/s2 for a time period of 6.63 s. What is the final velocity of this object? 

-4.85 m/s

500

What are the units for acceleration?

meters per second per second/meters per second squared (m/s2)