To determine the value of the rocket's speed at the end of the fifth year, we need to understand that the rocket's speed changes by 4 m/s every year starting from an initial speed of 5 m/s .
Let's break this down step by step:
Initial speed in Year 0 : The rocket starts with a speed of 5 m/s.
Increment each year : The speed increases by 4 m/s every year.
Year 1 : At the end of Year 1, the speed will be:
5 m/s + 4 m/s = 9 m/s
Year 2 : At the end of Year 2, the speed will be:
9 m/s + 4 m/s = 13 m/s
Year 3 : At the end of Year 3, the speed will be:
13 m/s + 4 m/s = 17 m/s
Year 4 : At the end of Year 4, the speed will be:
17 m/s + 4 m/s = 21 m/s
Year 5 : Finally, at the end of Year 5, the speed will be:
21 m/s + 4 m/s = 25 m/s
Therefore, the value of the rocket's speed at the end of the fifth year is 25 m/s .
The correct answer is the first option, 0. 25 m/s .