TPR AP Kinematics Example 15 11605

 

Using the graph above, what is the instantaneous velocity at $10\ \mathrm{seconds}$?

$v_{ins}=100\ \mathrm{\displaystyle \frac{m}{s}}$

Draw a tangent line. Find the slope of the tangent by picking any two points on the tangent line. It usually helps if the points are kind of far apart and it also helps if points can be found at “easy spots” such as $(0, 5)$ and $(15,\ 1,000)$ and not $(6.27,\ 113)$ and $(14.7,\ 983)$

$$v_{ins}=v_{tan}=\frac{\Delta x}{\Delta t}$$

$$v_{ins}=\frac{(1,000-0)}{(15-5)}$$

$$v_{ins}=100\ \mathrm{\frac{m}{s}}$$