Is Acceleration Directly Proportional to the Square of Time in Kinematics?

AI Thread Summary
The discussion revolves around the relationship between acceleration and time in kinematics, specifically whether acceleration is directly proportional to the square of time. The participant is grappling with the correct mathematical expression for this relationship. They initially suggest that acceleration could be represented as a = C / t^2 but later correct themselves to a = C * t^2. This indicates a misunderstanding of the proportionality concept in the context of kinematics. Clarifying the correct formula is essential for accurately solving related physics problems.
General_Sax
Messages
445
Reaction score
0

Homework Statement



The acceleration of a particle is directly proportional to the square of the time t...

Homework Equations


C = constant


The Attempt at a Solution




I'm just having a little difficutly with the wording.

In this case could I write: a = C / t^2 ?
 
Physics news on Phys.org
oops, I meant this: In this case could I write: a = C * t^2
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top