Motin in two dimensions,accelerated motin,motions

[nirajnishad]

Homework Statement

The Acceleration of a particle increases linearly as bt with time.If the particle starts from U as initial velocity then the distance traveled in t seconds will be?

Homework Equations

The Attempt at a Solution

 

[nirajnishad]

please anyone can give me some hint to solve this question?

 

[dharavsolanki]

Ok. Fine. You haven't setup any equations as yet!

The Acceleration of a particle increases linearly as bt with time

What equation can you make out of this?

Write that equation. Also, note that unlike your normal equations of x, this time you will NOT have an unknown! Instead, you'll have an unknown function.

When you solve the equation you obtain here, convert it into another "differential equation". That way, you'll have another unknown function. Integrate it again, and then make another equation, solve it again.


Hints :

What is a function? a = bt is a function. "a" being the function of time, since "a" depends on time!

Also, YOU HAVEN'T POSTED ANY RELEVANT EQUATIONS!

Can you guess what are the relevant equations here? Refer to your original definitions of speed, velocity, acceleration, distance, displacement etc. wrt mathematics!

 

[dharavsolanki]

It's a 30 second problem. I have just not told you straightforward the solution, but given hints - THAT is why the reply was large!

 

[dharavsolanki]

ALSO CHECK THE RELATED LINKS and SAVE THEM as PDF!

* motions on 2 dimensions
* motions in 2 dimensions
* projectile motin help ISU

THEY ARE AT THE BOTTOM OF THE PAGE!