Question

Which story could be represented by the points below that makes a graph. Y = speed, X = time
first point (0, 0)
second point (1, 3)
third point (4, 3)
fourth point (5, 1)
sixth point (5.5, 4)
seventh point (8.5, 4)
eighth point (10, 0)

1. Starting at rest, John walked away from his
house. Then he
waited for a bus.
As he waited he
thought he forgot
his homework so
he went back
home only to
realize it was in
his backpack.
Since he missed
his bus, he ran to
school. He worked
at school and then ran back home.

2. Starting at rest, John
increased his speed at
a constant rate. Then
maintained it for a
while before
decreasing his speed
as he climbed a
mountain. As he went
down the mountain his
speed increased. At the
bottom of the
mountain, he had a
constant speed before
he slowed down and
then stopped.

3. John started a race. In
order to get ahead of
everyone he ran really
fast. Once in 1st, he
stopped running. He
lost a shoe and had to
run back for it. Once he
got his shoe, he ran
really fast to try and
get back to first. He
couldn't keep going so
he stopped and ran
back to the start to
give up.

Answer 1

The graph matches story 2.

Mapping the points to that story:
- (0,0) → (1,3): starting at rest, John accelerates (speed increases steadily).
- (1,3) → (4,3): he maintains a constant speed.
- (4,3) → (5,1): his speed decreases (climbing the mountain).
- (5,1) → (5.5,4): his speed increases quickly (going down the mountain).
- (5.5,4) → (8.5,4): he travels at a constant faster speed at the bottom.
- (8.5,4) → (10,0): he slows down and comes to a stop.

Stories 1 and 3 require full stops and direction reversals (waiting, going back home, or turning around to retrieve a shoe), which would show speed dropping to zero or changes not present in the given graph.