Two Identical Balls Are Thrown Directly Upward,ball a at Speed

question 32

Multiple Choice

Two identical balls are thrown directly upward,ball A at speed v and ball B at speed 2v,and they feel no air resistance.Which statement about these balls is correct?

• A) Ball B will go twice as high as ball A because it had twice the initial speed.
• B) Ball B will go four times as high as ball A because it had four times the initial kinetic energy.
• C) The balls will reach the same height because they have the same mass and the same acceleration.
• D) At its highest point, ball B will have twice as much gravitational potential energy as ball A because it started out moving twice as fast.
• E) At their highest point, the acceleration of each ball is instantaneously equal to zero because they stop for an instant.

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Definitions:

Capital Allocation Line

A graph showing risk-versus-return profiles of different portfolios, including the risk-free rate and a combination of risky assets, guiding optimal asset allocation.

Efficient Frontier

A concept in modern portfolio theory demonstrating the set of optimal portfolios offering the highest expected return for a given level of risk.

Portfolio Standard Deviation

A measure of the dispersion of the returns of a portfolio, indicating its risk.

Individual Security

A specific financial instrument, such as a stock or bond, representing an investment in assets or rights to ownership.