Mathematics

Problem

A toy rocket is launched along a horizontal track. It starts with an initial velocity of

10\,\text{m/s}

. The acceleration varies with time as a triangular spike, increasing linearly from

0

6\,\text{m/s}^{2}

t = 4\,\text{s}

, and then decreasing linearly back to

0

t = 8\,\text{s}

. Find the final velocity of the rocket at

t = 8\,\text{s}