Chapter 1: Q32P (page 40)

The position of a baseball relative to home plate changes from $< 15, 8, - 3 >$ m to $< 20, 6, - 1 >$ m in $0.1$ s. As a vector, write the average velocity of the baseball during this time interval.

Short Answer

Expert verified

The average velocity is: ${\overset{⇀}{V}}_{a v g} = <50, - 20, 20>$ m/s.

Step by step solution

Identification of given data

The position of a baseball relative to home plate changes from $<15, 8, - 3>$ m to

$<20, 6, - 1>$

Time t = 0.1s

Calculating average velocity

The relative position of baseball from home plate changes from,

$<15, 8, - 3> m to <20, 6, - 1> m .$

To do so,we need to find the change in the position vector of the baseball in the time interval mentioned in the given problem

${\overset{⇀}{V}}_{a v g} = \frac{∆ \overset{⇀}{r}}{∆ t} = \frac{<20, 6, - 1> - <15, 8, - 3>}{0.1 - 0} {\overset{⇀}{V}}_{a v g} = \frac{<5, - 2, 2>}{0.1} {\overset{⇀}{V}}_{a v g} = <50, - 20, 20> m / s$

m/s

Thus, the average velocity of the baseball is ${\overset{⇀}{V}}_{a v g} = <50, - 20, 20>$ m/s.

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The position of a baseball relative to home plate changes from $< 15, 8, - 3 >$ m to $< 20, 6, - 1 >$ m in $0.1$ s. As a vector, write the average velocity of the baseball during this time interval.

Short Answer

Step by step solution

Identification of given data

Calculating average velocity

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The position of a baseball relative to home plate changes from<15,8,-3>m to<20,6,-1>m in0.1s. As a vector, write the average velocity of the baseball during this time interval.

Short Answer

Step by step solution

Identification of given data

Calculating average velocity

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Astrophysics

Force

Waves Physics

Electromagnetism

Electricity

Mechanics and Materials

Study anywhere. Anytime. Across all devices.

The position of a baseball relative to home plate changes from $< 15, 8, - 3 >$ m to $< 20, 6, - 1 >$ m in $0.1$ s. As a vector, write the average velocity of the baseball during this time interval.