Distance & Displacement

Distance & Displacement

Let's practice using these terms

Multiple Choice

What is the position of the tree in this problem?

• 0m

• +4m

• -4m

Multiple Choice

Pat walks as shown, what is the initial position of Pat?

• 0m

• -2m

• +2m

• +4m

• +6m

Multiple Choice

Pat walks as shown, what is the final position of Pat?

• 0m

• -2m

• +2m

• +4m

• +6m

Multiple Choice

Pat walks as shown, what is the displacement of Pat?

• 0m

• 4m

• +4m

• 6m

• +6m

Multiple Choice

Pat walks as shown, what distance did Pat travel?

• 0m

• 4m

• +4m

• 6m

• +6m

Solution

 $x_i$ = -2m
 $x_f$  = +4m

 $\Delta x$ =  $x_f-x_i$  = +4 - (-2) = +6m
 $d$   = 6m

Multiple Choice

What is the initial position?

• -5m

• 0m

• -10m

• +10m

• +5m

Multiple Choice

What is the final position?

• -5m

• 0m

• -10m

• +10m

• +5m

Multiple Choice

What is the displacement?

• -5m

• 0m

• -10m

• +10m

• +5m

Multiple Choice

What is the distance travelled?

• -5m

• 10m

• -10m

• +10m

• +5m

Solution

 $x_i$ = +5m
 $x_f$  = -5m

 $\Delta x$ =  $x_f-x_i$  = +5 - (-5) = +10m
 $d$   = 10m

Multiple Choice

What is the initial position?

• +5m

• -5m

• 0m

• 10m

• -10m

Multiple Choice

What is the final position?

• +5m

• -5m

• 0m

• 10m

• -10m

Multiple Choice

What is the displacement?

• +5m

• -5m

• 0m

• 10m

• -10m

Multiple Choice

What is the distance traveled?

• +5m

• -5m

• 0m

• 10m

• -10m

Solution

 $x_i$ = +5m
 $x_f$  = +5m

 $\Delta x$ =  $x_f-x_i$  = +5 - (+5) = 0m
 $d$   = 5m + 5m =10m

Multiple Choice

What is the initial position?

• -5m

• +3m

• 11m

• 8m

• +5m

Multiple Choice

What is the final position?

• -5m

• 0m

• 11m

• +3m

• +5m

Multiple Choice

What is the displacement?

• 5m

• 0m

• 11m

• +8m

• +5m

Multiple Choice

What is the distance traveled?

• 5m

• 0m

• 11m

• +8m

• +5m

Solution

 $x_i$ = -5m
 $x_f$  = 0m

 $\Delta x$ =  $x_f-x_i$  = 0 - (-5) = +5m
 $d$   = 8m + 3m = 11m

Multiple Choice

What is the initial position?

• +3m

• -1m

• +6m

• +11m

• 4m

Multiple Choice

What is the final position?

• +3m

• -1m

• +6m

• +11m

• 4m

Multiple Choice

What is the displacement?

• +3m

• -1m

• +6m

• +11m

• 4m

Multiple Choice

What is the distance traveled?

• 3m

• -1m

• +6m

• 11m

• 4m

Solution

 $x_i$ = +3m
 $x_f$  = +6m

 $\Delta x$ =  $x_f-x_i$  = +6 - (+3) = +3m
 $d$   = 4m + 7m = 11m

Multiple Choice

What is the initial position?

• -2m

• -6m

• +5m

• -1m

• -3m

Multiple Choice

What is the final position?

• -2m

• -6m

• +5m

• -1m

• -3m

Multiple Choice

What is the displacement?

• -2m

• -6m

• +5m

• -1m

• -3m

Multiple Choice

What is the distance traveled?

• 7m

• 11m

• 21m

• -1m

• 3m

Solution

 $x_i$ = -2m
 $x_f$  = -3m

 $\Delta x$ =  $x_f-x_i$  = -3 - (-2) = -1m
 $d$   = 7m + 11m + 3m = 21m