When is particle speeding up

Here's the graph. From that is it obvious where the particle is speeding up and where it is slowing down. Ok, so I am still a little bit confused. However, wouldn't you also be solving acceleration for zero to find the x intercept of 1. Then if you take test numbers greater and less than 1. Doesn't this mean we have to consider this into our intervals of speeding vs. I am sorry if it is a foolish question. I must be missing something still. It's not. You were correct.

Reactions: 1 person. Thank you for the clarification. I am glad I was doing everything correctly. Potential energy of a particle Probability of finding the particle. Top Bottom. Particle in gravitational field - solving ODE. Tuesday at PM. Non Physicist asking Why do you have to assume a String is a Particle? Aug 27, Potential energy of a particle. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search.

Based on this graph i have to figuere out when the particle is speeding up and when it is slowing down. My understanding is that when velocity and accelaration have the same sign then we are speeding up.

Using this concept i applied it to this problem and i came up speeding up using interval notation. Thanks Miguel. You've got the right idea, but not the right execution. The position displacement is increasing, so the velocity is positive.

Just after these points in time it is moving. That means that it must be slowing down at those points in time. Acceleration is a 2nd derivative, so you have to pay attention to where the graph holds water and spills water.

Where it holds water, the acceleration is positive, and where it spills, it is negative. A particle usually speeds up when the velocity and the acceleration have the same signs.

It slows down when the acceleration and velocity signs are different. My advice even though it might take a while would be to sketch the curve from the given function. Then, you can find where the particle speeds up and slows down. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group.

Create a free Team What is Teams? Learn more. Asked 8 years, 7 months ago. Active 2 years ago. Viewed k times. Miguel Miguel 7 7 gold badges 10 10 silver badges 18 18 bronze badges. Add a comment.

Active Oldest Votes. Now check where the signs match.