Two Cars Start at the Same Point, but Travel in Opposite

question 26

Multiple Choice

Two cars start at the same point, but travel in opposite directions on a circular path of radius R, each at speed v. While each car travels a distance less than $\frac{\pi}{2} \mathrm{R}$ , one quarter circle, the centre of mass of the two cars:

• A)remains at the initial point.
• B)travels along a diameter of the circle at speed v' < v.
• C)travels along a diameter of the circle at speed v' = v.
• D)travels along a diameter of the circle at speed v' > v.
• E)remains at the centre of the circle.

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Definitions:

Compounded Annually

A system of calculating interest where the accumulated interest is added to the principal at the end of each year, resulting in interest earning interest in subsequent periods.

Compounded Quarterly

A method of calculating interest where the accumulated interest is added to the principal amount at the end of each quarter, leading to interest being earned on interest.

Compound Interest

Interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Future Value

The worth of a present asset on a future specified date, calculated using a projected growth rate.