Worksheet
SVA Relationships #2
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s-t
v-t
a-t
instantaneous position
y-coordinate of point
- - -
- - -
displacement
difference in two y-coordinates
area between graph and x-axis
- - -
instantaneous velocity
slope of tangent (to the graph) at specified time
y-coordinate of point
- - -
change in velocity
- - -
difference in two y-coordinates
area between graph and x-axis
instantaneous acceleration
- - -
slope of graph at specified time
y-coordinate of point
Refer to the following information for the next seven questions.
Group #1:
Use the given position-time, velocity-time, and acceleration-time graphs to determine the missing values for position,
P
, and the acceleration,
a
.
True or False? The cart in the above graphs in traveling in a positive direction.
True
False
True or False? The cart is experiencing a constant positive acceleration.
True
False
What is the cart's acceleration?
What is the change in the cart's velocity?
True or False? The chart is losing speed.
True
False
What is the total distance that the cart traveled?
What is the value of P?
Refer to the following information for the next six questions.
Group #2:
Use the given position-time, velocity-time, and acceleration-time graphs to determine the missing values for the initial velocity,
v
, and the acceleration,
a
.
True or False? The cart in the above graphs in traveling in a positive direction.
True
False
True or False? The cart is experiencing a constant positive acceleration.
True
False
What is the cart's displacement?
Write an expression for the displacement using the areas under the v-t graph.
What is the value of the cart's initial velocity, v?
What is the cart's acceleration?
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