Chapter 2: Q34P (page 45)

The position of a golf ball relative to the tee changes from $< 50, 20, 30 >$ m to $< 53, 18, 31 >$ m in $0.1$ second. As a vector, write the velocity of the golf ball during this short time interval.

Short Answer

Expert verified

The velocity of the golf ball is: ${\overset{⇀}{V}}_{avg} = <30, - 20, 10>$ m/s.

Step by step solution

Identification of given data

The position of a golf ball relative to the tee changes from $<50, 20, 30>$ m to $<53, 18, 31>$ m

Time t = 0.1s

Calculating average velocity

The position of golf ball relative to the tee changes from,

$<50, 20, 30> m to <53, 18, 31> m$

To find the average velocity vector find the change in position (as a vector) then divide it over the time interval that was needed to change,

${\overset{⇀}{V}}_{a v g} = \frac{∆ \overset{⇀}{r}}{∆ t} {\overset{⇀}{V}}_{a v g} = \frac{<53, 18, 31> - <50, 20, 30>}{0.1 - 0} {\overset{⇀}{V}}_{a v g} = <30, - 20, 0> m / s$

m/s

Hence, the velocity of the golf ball during the short time interval is ${\overset{⇀}{V}}_{a v g} = <30, - 20, 0>$ m/s.

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The position of a golf ball relative to the tee changes from $< 50, 20, 30 >$ m to $< 53, 18, 31 >$ m in $0.1$ second. As a vector, write the velocity of the golf ball during this short time interval.

Short Answer

Step by step solution

Identification of given data

Calculating average velocity

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The position of a golf ball relative to the tee changes from<50,20,30>m to<53,18,31>m in0.1second. As a vector, write the velocity of the golf ball during this short 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

Engineering Physics

Medical Physics

Magnetism

Energy Physics

Measurements

Radiation

Study anywhere. Anytime. Across all devices.

The position of a golf ball relative to the tee changes from $< 50, 20, 30 >$ m to $< 53, 18, 31 >$ m in $0.1$ second. As a vector, write the velocity of the golf ball during this short time interval.