Read the given statements and select the correct option. Statement 1: A man carrying a bucket of water and walking on a rough level road with a uniform velocity does no work while carrying the bucket. Statement 2 : The work done on a body by a force (F) in giving it a displacement (S) is defined as \[W=\overline{F}\cdot \overline{S}=FS\,\,\,\cos \theta \], where \[\theta \] is the angle between vectors \[\overline{F}\] and\[\overline{S}\].

• A. Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.
• B. Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.
• C. Statement 1 is true but statement 2 is false.
• D. Both statements 1 and 2 are false.