Answer:
The new stopwatch will not be that useful in timing the sprint team at the school's last track meet.
Step-by-step explanation:
Given:
Accuracy of the stopwatch = ± 0.05 s
The time of the first place sprinter = 12.04 s
The time of the second-place sprinter = 12.07 seconds
Now,
If sprinters were timed with the new stopwatch,
thus,
First sprinter's time would have been between
= 12.04 - 0.05 and 12.04 + 0.05
= 11.99 and 12.09
or
between the interval [11.99 , 12.09]
while
Second sprinter's time would have been between
= 12.07 - 0.05 =and 12.07 + 0.05
= 12.02 and 12.12
or
between the interval [12.0.2 , 12.12]
Hence,
There is an overlap between the worst time of the first sprinter i.e 11.99 and the best time of the second sprinter i.e 12.02
Hence,
The new stopwatch will not be that useful in timing the sprint team at the school's last track meet.
