The velocity of an elevator is given by the graph shown. Assume the positive direction is upward. Velocity (m/s) 3.0 2.5 2.0 1.5 1.0 0.5 0 0 5.0 10 15 20 25 Time (s) (a) Briefly describe the motion of the elevator. Justify your description with reference to the graph. (b) Assume the elevator starts from an initial position of y = 0 at t=0. Deriving any numerical values you need from the graph: i. Write an equation for the position as a function of time for the elevator from t=0 to t = 3.0 seconds. ii. Write an equation for the position as a function of time for the elevator from t = 3.0 seconds to t = 19 seconds. (c) A student of weight mg gets on the elevator and rides the elevator during the time interval shown in the graph. Consider the force of con- tact, F, between the floor and the student. How Justify your answer with reference to the graph does F compare to mg at the following times? and your equations above. i. = 1.0 s ii. = 10.0 s

Principles of Physics: A Calculus-Based Text
5th Edition
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Chapter1: Introduction And Vectors
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The velocity of an elevator is given by the graph shown.
Assume the positive direction is upward.
Velocity (m/s)
3.0
2.5
2.0
1.5
1.0
0.5
0
0
5.0
10
15
20
25
Time (s)
(a) Briefly describe the motion of the elevator.
Justify your description with reference to the
graph.
(b) Assume the elevator starts from an initial position
of y = 0 at t=0. Deriving any numerical values
you
need from the graph:
i. Write an equation for the position as a
function of time for the elevator from
t=0 to t = 3.0 seconds.
ii. Write an equation for the position as a
function of time for the elevator from t = 3.0
seconds to t = 19 seconds.
(c) A student of weight mg gets on the elevator
and rides the elevator during the time interval
shown in the graph. Consider the force of con-
tact, F, between the floor and the student. How
Justify your answer with reference to the graph
does F compare to mg at the following times?
and your equations above.
i. = 1.0 s
ii. = 10.0 s
Transcribed Image Text:The velocity of an elevator is given by the graph shown. Assume the positive direction is upward. Velocity (m/s) 3.0 2.5 2.0 1.5 1.0 0.5 0 0 5.0 10 15 20 25 Time (s) (a) Briefly describe the motion of the elevator. Justify your description with reference to the graph. (b) Assume the elevator starts from an initial position of y = 0 at t=0. Deriving any numerical values you need from the graph: i. Write an equation for the position as a function of time for the elevator from t=0 to t = 3.0 seconds. ii. Write an equation for the position as a function of time for the elevator from t = 3.0 seconds to t = 19 seconds. (c) A student of weight mg gets on the elevator and rides the elevator during the time interval shown in the graph. Consider the force of con- tact, F, between the floor and the student. How Justify your answer with reference to the graph does F compare to mg at the following times? and your equations above. i. = 1.0 s ii. = 10.0 s
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