Final 12 - Water Clock

Given:

• $\mbox{In one time interval, a ball rolls down the incline 0.8 meters.}$

Question:

• $\mbox{What interval does the ball travel in the second and third time intervals?}$

Rationale & Calculate:

• $\Delta{x} \varpropto t^2$
• $\Delta{x-1} = 1 * K$
• $\Delta{x-2} = 4 * K$ 
• $\Delta{x-3} = 9 * K$ 
• $K = 0.8 \; \mbox{since at t-1, x-1 is 0.8}$
• $\Delta{x-2} = 3.2$ 
• $\Delta{x-3} = 7.2$ 
• $Interval_{2-1} = 3.2 - 0.8 = 2.4$
• $Interval_{3-2} = 7.2 - 3.2 = 4.0$

References:

• Unit 2A-8 of PH-100