Answer:
367.616 m
Explanation:
The distance it travels for the 1st segment is
[tex]s_1 = a_1t_1^2/2 = 2.4*8.8^2/2 = 92.928 m[/tex]
The constant velocity that it achieves in the 2nd segment is
[tex]v = a_1t_1 = 2.4 * 8.8 = 21.12 m/s[/tex]
The distance it travels in the 2nd segment is
[tex]s_2 = vt_2 = 21.12 * 9.9 = 209.088 m[/tex]
The distance it travels in the last segment when coming from 21.12 m/s to rest (0 m/s) at the rate of -3.4 m/s2 is
[tex]s_3 = \frac{0^2 - v^2}{2a_2} = \frac{-21.12^2}{2*(-3.4)} = 65.6 m[/tex]
The total distance is has traveled from rest is
92.928 + 209.088 + 65.6 = 367.616 m
