B

Step 1: Identify the area under the speed versus time graph from time \( t = 0 \) to \( t = 5 \) seconds.
Step 2: The graph indicates a linear increase in speed from \( 0 \) to \( 10 \, \text{ms}^{-1} \) over \( 5 \) seconds, representing uniform acceleration.
Step 3: Calculate the area under the graph (which equals the distance traveled). The area of a triangle is given by \( \frac{1}{2} \times \text{base} \times \text{height} \). Here, \( \text{base} = 5 \) seconds and \( \text{height} = 10 \, \text{ms}^{-1} \).
Step 4: Calculate the area (distance):
\[ \text{Distance} = \frac{1}{2} \times 5 \times 10 = 25 \, \text{m} \]
Therefore, B.