NON-GRADED
Instructions: Write your answers on a clean sheet of paper.
1. For each of the following statements, defend if it is true, and debunk if it is false using brief
justifications. For a certain object moving during a certain time,
(a) displacement can be equal to the distance traveled.
True. Because if the distance traveled is a straight line and in a single direction, it will
equate with the displacement.
(b) displacement can be greater than the distance traveled.
False. Because according to the definition provided, “the displacement is the shortest
distance between the final and initial positions”, meaning it can’t be greater than the distance
traveled.
(c) displacement can be less than the distance traveled.
True. Because displacement is the “shortest distance”.
(d) displacement can be zero even when the distance traveled is not.
True. Because the displacement only considers the starting and ending points and these
points would most likely be located in the same place, resulting in a displacement of zero.
Meanwhile, the distance traveled depends on how much ground the object covered.
2. Summarize the similarities and difference of displacement and distance traveled using a Venn
diagram.
Displacement
Distance
Traveled
-Measured in
units of length
-Vector
-Scalar
-Measured from a
-Depends only
-Depends on
reference point
on the initial
-have stopping point how much
and final points -they would be equal ground an object
if the travel were
has covered
in a straight
-Overall change
line in one
-Actual path
direction.
in position
taken
GRADED
1. What is the displacement of a runner who joins a marathon if the race begins at a certain park, runs
42 km and finishes the race at the same location in the said park? Explain briefly.
 The displacement would be 0 km, in other words, there is no displacement at all. It’s because
there is no distance between the starting and ending point since both of them are located in the
exactly the same location.
2. One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is
1.5 km. They start at the west side of the lake and head due south to begin with.
(a) What is the distance they traveled? (Cutnell and Johnson, 2012)
 The distance they traveled is 7.069 km.
(b) Describe the couple’s displacement as compared to the distance traveled.
 The couple’s displacement has a shorter distance than the distance they traveled.