A football quarterback runs 15.0 m straight down the playing...

Name: Problem 14, Chapter 2: College Physics for AP® Courses
Uploaded: 2019-08-13T17:34:34-08:00
Duration: 2 min 11 s
Channel: Averell Hause
Description: A football quarterback runs 15.0 m straight down the playing field in 2.50 s. He is then hit and pushed 3.00 m straight backward in 1.75 s. He breaks the tackle and runs straight forward another 21.0 m in 5.20 s. Calculate his average velocity (a) for each of the three intervals and (b) for the entire motion.

A football quarterback runs 15.0 m straight down the playing field in 2.50 s. He is then hit and pushed 3.00 m straight backward in 1.75 s. He breaks the tackle and runs straight forward another 21.0 m in 5.20 s. Calculate his average velocity (a) for each of the three intervals and (b) for the entire motion.

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Key Concepts

Average Velocity

Average velocity is a vector quantity defined as the net displacement divided by the total time over which the displacement occurs. It accounts for both the magnitude and direction of movement, meaning that movements in opposite directions are considered with opposite signs when calculating the net displacement.

Displacement

Displacement refers to the straight-line distance between the initial and the final positions of an object, taking direction into account. It is different from distance traveled because it does not consider the entire path taken but only the difference between the starting and ending points.

Time Interval Calculation

Time intervals represent the duration over which each segment of motion occurs. When calculating average velocity, it is important to correctly segment and sum these time periods to obtain the total time of the motion, ensuring accuracy when dividing the net displacement.

Vector Quantities and Direction

In kinematics, quantities such as displacement and velocity are vectors, meaning they have both magnitude and direction. Correctly assigning positive and negative signs based on a chosen coordinate system is fundamental to accurately calculate and interpret these quantities.

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