A graph of velocity vs. time of a ship coming into a harbor is shown below. (a) Describe the motion of the ship based on the graph. (b)What would a graph of the ship’s acceleration look like?
(a) The ship moves at constant velocity and then begins to decelerate at a constant rate. At some point, its deceleration rate decreases. It maintains this lower deceleration rate until it stops moving.
(b) A graph of acceleration vs. time would show zero acceleration in the first leg, large and constant negative acceleration in the second leg, and constant negative acceleration.
Graphical solutions yield identical solutions to mathematical methods for deriving motion equations.
The slope of a graph of displacement
vs. time
is velocity
.
The slope of a graph of velocity
vs. time
graph is acceleration
.
Average velocity, instantaneous velocity, and acceleration can all be obtained by analyzing graphs.
Conceptual questions
(a) Explain how you can use the graph of position versus time in
[link] to describe the change in velocity over time. Identify (b) the time (
,
,
,
, or
) at which the instantaneous velocity is greatest, (c) the time at which it is zero, and (d) the time at which it is negative.
(a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time given in
[link] . (b) Identify the time or times (
,
,
, etc.) at which the instantaneous velocity is greatest. (c) At which times is it zero? (d) At which times is it negative?
(a) Explain how you can determine the acceleration over time from a velocity versus time graph such as the one in
[link] . (b) Based on the graph, how does acceleration change over time?
(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in
[link] . (b) Identify the time or times (
,
,
, etc.) at which the acceleration is greatest. (c) At which times is it zero? (d) At which times is it negative?
Consider the velocity vs. time graph of a person in an elevator shown in
[link] . Suppose the elevator is initially at rest. It then accelerates for 3 seconds, maintains that velocity for 15 seconds, then decelerates for 5 seconds until it stops. The acceleration for the entire trip is not constant so we cannot use the equations of motion from
Motion Equations for Constant Acceleration in One Dimension for the complete trip. (We could, however, use them in the three individual sections where acceleration is a constant.) Sketch graphs of (a) position vs. time and (b) acceleration vs. time for this trip.
A cylinder is given a push and then rolls up an inclined plane. If the origin is the starting point, sketch the position, velocity, and acceleration of the cylinder vs. time as it goes up and then down the plane.
Note: There is always uncertainty in numbers taken from graphs. If your answers differ from expected values, examine them to see if they are within data extraction uncertainties estimated by you.
(a) By taking the slope of the curve in
[link] , verify that the velocity of the jet car is 115 m/s at
. (b) By taking the slope of the curve at any point in
[link] , verify that the jet car’s acceleration is
.
Using approximate values, calculate the slope of the curve in
[link] to verify that the velocity at
is 0.208 m/s. Assume all values are known to 3 significant figures.
Using approximate values, calculate the slope of the curve in
[link] to verify that the velocity at
is 0.238 m/s. Assume all values are known to 3 significant figures.
Construct the displacement graph for the subway shuttle train as shown in
[link] (a). Your graph should show the position of the train, in kilometers, from t = 0 to 20 s. You will need to use the information on acceleration and velocity given in the examples for this figure.
(a) Take the slope of the curve in
[link] to find the jogger’s velocity at
. (b) Repeat at 7.5 s. These values must be consistent with the graph in
[link] .
A graph of
is shown for a world-class track sprinter in a 100-m race. (See
[link] ). (a) What is his average velocity for the first 4 s? (b) What is his instantaneous velocity at
? (c) What is his average acceleration between 0 and 4 s? (d) What is his time for the race?
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities.
before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue..
sometimes due to these physical problems..the diagnosis may be misdiagnosed.
treatment for autism.
well it depends on the severity.
since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision.
play therapy.
speech therapy.
Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game.
string and beads game.
the more you interact with the child the more effective
Jharna
results you'll get..
please consult a therapist to know what suits best on your child.
and last as a parent. I know sometimes it's overwhelming to guide a special kid.
but trust the process and be strong and patient as a parent.
Jharna
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