- #1

- 36

- 10

- Homework Statement
- Linear motion challenge

- Relevant Equations
- SUVAT?

Hi All,

I am trying to solve what I think should be a simple problem, but I must be missing something because I am struggle to solve it. The situation is shown below:

So to summarise:

I need to write a computer program to animate this motion, but I am stuck. How do I find the rate of acceleration? The acceleration could be linear or non-linear, and I do not know what the initial velocity (u) is. Ideally I want it to be 0.

So effectively, I am trying to create this motion by imposing the values listed above, because I need the object to follow this very specific profile of motion.

When I try the SUVAT equations, if I use u = 0, I get a linear acceleration of a = 1.25 m/s (a = 2s / t^2). But then when I calculate the velocity at Point B using this value, v = u + at gives me 5 m/s. This is incorrect as I need it to be 20 m/s as shown above. So I am assuming the SUVAT equations do not work in this case? Do I need to use a non-linear method?

Any help would be greatly appreciated! Please explain the steps if possible, rather than advising something broad like drawing a curve and finding the integral. I need some clear steps to follow.

I am trying to solve what I think should be a simple problem, but I must be missing something because I am struggle to solve it. The situation is shown below:

So to summarise:

- A body starts at Point A
- It moves in a straight line to Point B, covering a distance of 10m
- The time taken to travel this distance is 4 seconds
- When it reaches Point B, it has a velocity of 20 m/s

I need to write a computer program to animate this motion, but I am stuck. How do I find the rate of acceleration? The acceleration could be linear or non-linear, and I do not know what the initial velocity (u) is. Ideally I want it to be 0.

So effectively, I am trying to create this motion by imposing the values listed above, because I need the object to follow this very specific profile of motion.

When I try the SUVAT equations, if I use u = 0, I get a linear acceleration of a = 1.25 m/s (a = 2s / t^2). But then when I calculate the velocity at Point B using this value, v = u + at gives me 5 m/s. This is incorrect as I need it to be 20 m/s as shown above. So I am assuming the SUVAT equations do not work in this case? Do I need to use a non-linear method?

Any help would be greatly appreciated! Please explain the steps if possible, rather than advising something broad like drawing a curve and finding the integral. I need some clear steps to follow.