Possible webpage title: What Remains Constant in One-Dimensional Kinematics?

In summary, the area under both curves (velocity vs time) from t = 0 to t = tf is the same, and both average velocity and total displacement are equal from t = 0 to t = tf. The correct answer is D, but B also works if the curves have the same tfs.
  • #1
yti1211
5
0
The area under both curves (velocity vs time) from t =0 to t =tf is the same. Which of the following quantities is the same from t =0 to t = tf?

A. average position B. average velocity C.average accerleration D. total displacement
E. jerk( the derivative of accerleration.

THE correct answer is D, but I think B and D both work, because average v = total displacement/time. so is the answer key wrong?

THANKSSSSSS
 
Physics news on Phys.org
  • #2
Welcome to PF!

yti1211 said:
The area under both curves (velocity vs time) from t =0 to t =tf is the same. Which of the following quantities is the same from t =0 to t = tf?

A. average position B. average velocity C.average accerleration D. total displacement
E. jerk( the derivative of accerleration.

THE correct answer is D, but I think B and D both work, because average v = total displacement/time. so is the answer key wrong?

THANKSSSSSS

Hi yti1211! Welcome to PF! :smile:

hmm … I was going to say rubbish, you don't understand this …

but I think you're right! :biggrin:

(Unless, of course, the curves have different tfs:

D is correct even for different tfs, but B is correct only for the same tfs.)
 
  • #3
haha, thanks tiny-tim! :))
 

Related to Possible webpage title: What Remains Constant in One-Dimensional Kinematics?

What is one dimensional kinematics?

One dimensional kinematics is the study of motion along a straight line, without taking into account the forces that cause the motion.

What are the key concepts in one dimensional kinematics?

The key concepts in one dimensional kinematics include displacement, velocity, acceleration, and time. Displacement is the change in position of an object, velocity is the rate of change of displacement, acceleration is the rate of change of velocity, and time is the duration of the motion.

How is one dimensional kinematics different from two or three dimensional kinematics?

One dimensional kinematics only focuses on motion along a straight line, while two and three dimensional kinematics take into account motion in multiple directions. This means that one dimensional kinematics is simpler and easier to calculate, but it is not as comprehensive as two or three dimensional kinematics.

What are the equations used in one dimensional kinematics?

The equations used in one dimensional kinematics include:

  1. Displacement (Δx) = (Final position) - (Initial position)
  2. Velocity (v) = (Δx) / (Δt)
  3. Acceleration (a) = (Δv) / (Δt)
  4. Final velocity (v) = (Initial velocity) + (Acceleration x Time)
  5. Displacement (Δx) = (Initial velocity x Time) + (1/2 x Acceleration x Time2)

How is one dimensional kinematics applied in real life?

One dimensional kinematics is applied in various fields such as engineering, sports, and transportation. It is used to calculate the trajectory of a projectile, the speed and acceleration of a vehicle, and the distance and time of a runner. It is also used in designing roller coasters and other amusement park rides.

Similar threads

8.01 MIT OCW PS1.4: Throw and Catch (Kinematics)
    • Introductory Physics Homework Help
Replies
4
Views
596
Kinematics: Motion in One Direction: Car Chase
    • Introductory Physics Homework Help
Replies
9
Views
2K
Kinematics, curvilinear motion (a couple of questions)
    • Introductory Physics Homework Help
Replies
30
Views
619
Motion in One Dimension: The Tortoise and The Hare Race
    • Introductory Physics Homework Help
Replies
10
Views
6K
Trouble with another Kinematics question
    • Introductory Physics Homework Help
Replies
9
Views
1K
How Do You Calculate the Constant in a Helicopter's Takeoff Equation?
    • Introductory Physics Homework Help
Replies
3
Views
1K
Questions related to Kinematics
    • Introductory Physics Homework Help
Replies
12
Views
1K
Minimum deceleration to prevent a collision
    • Introductory Physics Homework Help
Replies
33
Views
3K
Simple constant acceleration/equation of motion question
    • Introductory Physics Homework Help
Replies
6
Views
2K
Kinematics - identifying and describing types of motion
    • Introductory Physics Homework Help
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top