The Initial Position and Velocity of a Projectile Are Given

question 13

Multiple Choice

The initial position and velocity of a projectile are given by and respectively, and where r is in m and v in m/s. The position in the horizontal direction (in m) as a function of time is

• A) x(t) = 6t
• B) x(t) = 3 + 6t
• C) x(t) = 3 + 6t + gt²
• D) x(t) = 4 + 8t
• E) x(t) = 4 + 8t + gt²

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Definitions:

Bell-Shaped

A bell-shaped curve is a graph of a distribution that resembles the shape of a bell, typically representing a normal distribution in which the bulk of the values lie towards the center and taper off symmetrically towards the extremes.

Standard Deviation

A measure of the dispersion or variability within a set of numerical data, indicating how spread out the values are.

Mean

The arithmetic average of a set of numbers, found by dividing the sum of all the numbers by the count of the numbers.

Population Variance

A measure of the dispersion of a set of data points in a population, calculated as the average of the squared deviations from the mean.