Motin in two dimensions,accelerated motin,motions

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The discussion focuses on solving a physics problem involving a particle whose acceleration increases linearly with time, expressed as a = bt. To find the distance traveled in t seconds, participants emphasize the need to set up relevant equations and note that acceleration is a function of time. The solution involves converting the initial equation into a differential equation, integrating it, and solving for distance. Participants are encouraged to refer to definitions of speed, velocity, and displacement to aid in their understanding. The conversation highlights the importance of mathematical relationships in physics problems.
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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


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

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