Simple kinematics question i think i am right just need to confirm

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Homework Help Overview

The discussion revolves around a kinematics problem involving a ball rolling down a ramp with constant acceleration. The original poster seeks to confirm their understanding of the motion and the calculations related to distance and acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the kinematic equation for distance to determine how far the ball moves between specific time intervals, questioning the role of acceleration in their calculations.
  • Some participants question the assumption that acceleration could be zero, emphasizing that the ball must have some acceleration to be in motion.
  • Others explore the implications of the ball's initial conditions and the relationship between distance, time, and acceleration.

Discussion Status

The discussion is active, with participants providing guidance on the correct interpretation of the problem and the relevant equations. There is a focus on clarifying the role of acceleration and its calculation based on the given distance and time.

Contextual Notes

Participants are navigating the implications of the ball's initial rest state and the constant acceleration condition. There is an ongoing exploration of how to correctly apply the kinematic equations given the information provided.

ihatecats2014
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Homework Statement


At t=0 a ball, initially at rest, starts to roll down a ramp with constant acceleration. You notice it moves 1 foot between t=0 seconds and t = 1 second.
How far does it move between t = 1 second and t = 2 seconds

Homework Equations


delta x=vit+1/2at2? since it is constant speed wouldn't acceleration be 0?

The Attempt at a Solution


it seems like it would be 1 foot right?
= 1(1)+1/2(0)(1)2
delta x=1foot?
 
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No the acceleration would not be zero. If it were zero, then the ball would not move.

ihatecats2014 said:

Homework Statement


At t=0 a ball, initially at rest, starts to roll down a ramp with constant acceleration. You notice it moves 1 foot between t=0 seconds and t = 1 second.

Using this information and the same relevant equations, what is the acceleration? (Remember, initially at rest means no initial velocity)
 
rock.freak667 said:
No the acceleration would not be zero. If it were zero, then the ball would not move.
Using this information and the same relevant equations, what is the acceleration? (Remember, initially at rest means no initial velocity)

would the acceleration be 1? because it went 1 foot in the elapsed time of 1 sec?

then
=0(1)+1/2(1)(1)^2
delta x equals 1/2 foot
this is wrong. i need a hint please

or if the time is 2sec the distance would then be 2 foot. but i think that is still wrong
 
ihatecats2014 said:
would the acceleration be 1? because it went 1 foot in the elapsed time of 1 sec?

Your equation is x=ut+0.5at2 (u= initial velocity)

Using this equation a≠1 ft/s2.
 

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