Consider the motion of a batsman in a cricket game. The length of the pitch is . Suppose the batsman completes one run and he is now away from his batting crease or his starting point. Then he turns back and gets run out when he is exactly mid-way through his second run.
The total distance traveled by batsman is
Step 1: Given
As per the data given,
Since the length of the pitch is
Step 2: Calculating the distance batsman travelled in one run
Hence, to make one run the distance he has to travel
Now, the batsman makes one run and gets out when he is exactly midway through the pitch.
Therefore, he gets out when he is away from the pitch.
Step 3: Calculating the total distance batsman travelled
Total distance travelled= distance travelled to make one run+ distance travelled is half of the pitch
Hence option D is correct, the distance travelled by the batsman is .