You are here:
Calculus/Calculus
Advertisement
Question
A PARTICLE MOVES on the x-axis in such a way that its position at time t is given by x(t)=(2t-1)(t-1)^2
at what times t is the particle at rest
during what interval of time is the particle moving to the left.
Thank you very much.
The particle is at rest when x'(t)=0 , & the particle is moving to
the left when x'(t)<0. So 1st let's derive :
x'(t)=2(t-1)^2+(2t-1)*2*(t-1)=2[t^2-2t+1]+2[2t^2-3t+1]=2[4t^2-5t+2].
x'(t)=0 -> 4t^2-5t+2=0 NO Solutions !! which means
x'(t) is always positive non zero !
The particle always moving right & never stops
Alon.
- Add to this Answer
- Ask a Question
| Rating(1-10) | Knowledgeability = 10 | Clarity of Response = 10 | Politeness = 10 |
| Comment | very helpful. thank you smuch. | ||
Related Articles
- Avoiding the Question: Not Answering Challenges to a Claim - Flaws in Reasoning and Arguments
- Bodybuilding Workout: Push Yourself to the Limit with this Challenging Bodybuilding Workout
- Swim Workouts for Swimmers - Descending Distance, Increasing Pace Repeats
- Mixed Rest 100's - Swim Workouts for Swimmers
- Running Program - Learn to Run Running Program
Answers by Expert:
Alon Mandes
Expertise
Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .
Experience
1. I'm a team member of mathnerds (math site for answering questions)
2. I'm a team member in the Student's Union of the Technion, helping
students who have problems in mathematics.
3. 2 years of experience as a math teacher in college.
4. I give free homework help for high school students in
Mathematics & Physics.
5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" ,
"Complex Functions".
Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.
Education/Credentials
M.A in Mathematics & Bs.c in Electronics.
©2012 About.com, a part of The New York Times Company. All rights reserved.