1

d Kinematics
Which position

versus

time graph represents
the motion shown in the motion diagram?
Which position

versus

time graph represents
the motion shown in the motion diagram?
Which velocity

versus

time graph goes with
this position

versus

time graph on the left?
Note that the variable “s” denotes a generic Cartesian coordinate. It could be x or y.
Which velocity

versus

time graph goes with
this position

versus

time graph on the left?
The velocity graph must match the slope of the position graph. The
position graph starts with a constant positive slope. Then the slope
decreases to zero.
Which position

versus

time graph goes with this velocity

versus

time graph on the left? The particle’s position at
t
i
= 0 s is
x
i
=
–
10 m .
Which position

versus

time graph goes with this velocity

versus

time graph on the left? The particle’s position at
t
i
= 0 s is
x
i
=
–
10 m .
The velocity graph must
match the slope of the
position graph. The
intercept of the position
graph is arbitrary.
Which velocity

versus

time graph or graphs goes with
this acceleration

versus

time graph? The particle is
initially moving to the right and eventually to the left.
Which velocity

versus

time graph or graphs goes with
this acceleration

versus

time graph? The particle is
initially moving to the right and eventually to the left.
The slope of the
velocity graph must
match the acceleration
graph. The intercept is
based on the direction
information.
The ball rolls up the ramp, then back down. Which is
the correct acceleration graph?
The ball rolls up the ramp, then back down. Which is
the correct acceleration graph?
1.5
1
0.5
0
0.5
1
1.5
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
t
v
The ball will move up the ramp while slowing down,
then it will reach a turnaround point and begin to move
down the ramp with increasing speed. The velocity
graph at right is consistent with that description. The
acceleration graph shown in graph
d
is consistent with
the requirement that it match the slope of the velocity
graph.
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