Understanding Kinematic Graphs and Instantaneous vs. Average Acceleration

In summary, the problem involves a particle moving along the x-axis with a given velocity function. The task is to sketch the graph of velocity versus time and calculate the average accelerations for two different one-second intervals. The graph should be turned in and the average accelerations are found to be 238.8 m/s^2 and 129.1 m/s^2 respectively. The importance of sketching the graph is emphasized.
  • #1
losolomd
3
0

Homework Statement



A particle moves along the x-axis with velocity vx = (9.7 m/s2)t - 6.0 m/s.
(b) Sketch vx versus t over the interval 0 < t < 10 s. (Do this on paper. Your instructor may ask you to turn in this work.)

(c) How do the instantaneous accelerations at the middle of each of the two time intervals specified in Part (a) compare to the average accelerations found in Part (a)?
3(No Response)
(a) Find the average acceleration for two different one-second intervals, one beginning at t = 3.0 s and the other beginning at t = 4.0 s.
aavg, 3.0 to 4.0 s and aavg, 4.0 to 5.0 s

Homework Equations



AT^2-Bt+c

The Attempt at a Solution



238.8 m/s^2

129.1 m/s^2
 
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  • #2
Did you sketch the graph as required? Care to post it. This is a very important step and should not be skipped.
 

Related to Understanding Kinematic Graphs and Instantaneous vs. Average Acceleration

1. What is Kinematics?

Kinematics is the branch of physics that studies the motion of objects without considering the forces that cause the motion. It focuses on describing the position, velocity, and acceleration of objects as they move through space.

2. What is Home work attempt Kinematics?

Home work attempt Kinematics is a specific type of kinematics problem that is typically given as a homework assignment in a physics class. It involves using equations and principles of kinematics to solve for unknown quantities in a given scenario.

3. What are the basic equations of Kinematics?

The three basic equations of kinematics are:

  • x = x0 + v0t + ½at2 (for displacement)
  • v = v0 + at (for velocity)
  • v2 = v02 + 2a(x-x0) (for acceleration)

These equations can be used to solve for different variables, such as displacement, velocity, and acceleration, in a kinematics problem.

4. What are the different types of motion in Kinematics?

The three main types of motion in kinematics are:

  • Uniform motion (constant velocity)
  • Uniformly accelerated motion (constant acceleration)
  • Non-uniformly accelerated motion (changing acceleration)

These types of motion can be described using the basic equations of kinematics.

5. What are some practical applications of Kinematics?

Kinematics has many practical applications in everyday life, such as:

  • Calculating the distance and time traveled in a car or on a train
  • Determining the speed and direction of a moving object, such as a ball being thrown
  • Understanding the motion of planets and satellites in space
  • Designing roller coasters and other amusement park rides

Overall, kinematics allows us to analyze and predict the motion of objects in a variety of situations, making it an important concept in physics and engineering.

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