# Problem: Chameleons catch insects with their tongues, which they can rapidly extend to great lengths. In a typical strike, the chameleon's tongue accelerates at a remarkable 280 m/s2  for 20 ms, then travels at constant speed for another 30 ms.During this total time of 50 ms, 1/20 of a second, how far does the tongue reach?Express your answer to two significant figures and include the appropriate units.

###### FREE Expert Solution

Using the kinematic equation:

$\overline{){\mathbf{\Delta }}{\mathbf{x}}{\mathbf{=}}{{\mathbf{v}}}_{{\mathbf{0}}}{\mathbf{t}}{\mathbf{+}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{a}}{{\mathbf{t}}}^{{\mathbf{2}}}}$

In the first 20ms: t = 20/1000 = 0.02 s, and v0 = 0 m/s, a = 280 m/s2

###### Problem Details

Chameleons catch insects with their tongues, which they can rapidly extend to great lengths. In a typical strike, the chameleon's tongue accelerates at a remarkable 280 m/s2  for 20 ms, then travels at constant speed for another 30 ms.

During this total time of 50 ms, 1/20 of a second, how far does the tongue reach?

Express your answer to two significant figures and include the appropriate units.