Two Identical Grasshoppers Jump into the Air with the Same

question 49

Multiple Choice

Two identical grasshoppers jump into the air with the same initial speed and experience no air resistance. Grasshopper A goes straight up, but grasshopper B goes up at a 66° angle above the
Horizontal. Which of the following statements about these grasshoppers are correct? (There could
Be more than one correct choice.)

• A) At their highest point, both of them have the same amount of gravitational potential energy.
• B) At their highest point, both of them have the same amount of mechanical energy.
• C) At their highest point, grasshopper A has more gravitational potential energy than grasshopper B.
• D) At their highest point, both of them have the same amount of kinetic energy.
• E) At their highest point, grasshopper B is moving faster than grasshopper A.

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Definitions:

F-test Statistic

A value derived from an F-test which is used to compare statistical models in terms of variance explained by the models, to determine if the models are significantly different from each other.

ANOVA Table

A table used to summarize the sources of variability in the data being analyzed in an Analysis of Variance (ANOVA) test.

Regression

An analytical method to determine how a dependent variable correlates with one or more independent variables.

Standard Error

The standard deviation of the sampling distribution of a statistic, commonly used to measure the accuracy of sample-based estimates of a population parameter.