Question

A turtle(neithermutated nor ninja) starts crawling from rest. This ordinary turtle accelerates at 6E-4 m/s^2. After 30 seconds at this strenuous rate, find it's velocity and the distance covered

Answer 1

\[s_x=\frac{1}{2}at^2+v_{0x}t+s_0\]
\[s_x=\frac{1}{2}(.0006)(30^2)+0+0=.27 m\]

Answer 2

\[v_x=at+v_0\]
\[v_x=(.0006)(30)=.018m/s^2\]

Answer 3

In order to catch a speeder, a police officer must achieve a speed of 40m/s within a distance of 1km. Presuming the officer tarts from rest, how much acceleration is required?

Answer 4

\[1km=1000m\]
\[s_0=\frac{1}{2}at^2 +v_0 t+s_0\]
\[s_0=\frac{1}{2}at\]

Answer 5

\[1000=\frac{1}{2}at^2\]

Answer 6

\[v_x=at+0\]
\[40=at\]
\[t=\frac{40}{a}\]
\[1000=\frac{1}{2}a(\frac{40}{a})^2 \]

Answer 7

\[1000=.5(\frac{40^2}{a})\]

\[a=\frac{.5(40^2)}{1000}\]

\[a=.8m/s^2\]