## Related questions with answers

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

Solutions

VerifiedFind for the average velocityof the baseball during this time interval with these given values,

Initial position $\langle 15,8,-3 \rangle\ \text{m}$ Final position $\langle 20,6,-1 \rangle\ \text{m}$ Time is $0.1\ \text{s}$

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

$\begin{aligned} \vec{v}_{_{\text{avg}}} &=& \frac{\Delta \vec{r}}{\Delta t} = \frac{\langle 20,6,-1 \rangle - \langle 15,8,-3 \rangle}{0.1-0} \\ \\ &=& \frac{\langle 5,-2,2 \rangle}{0.1} \\ \\ &=& \langle 0.5,-0.2,0.2 \rangle \; \mathrm{m/s} \end{aligned}$

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