Step 1 :Given the distance of \(1.68\mathrm{~m}\) and the speed of \(190\mathrm{~m/s}\), we can use the formula: \(time = \frac{distance}{speed}\)
Step 2 :Plug in the values: \(time = \frac{1.68}{190}\)
Step 3 :Calculate the time: \(time \approx 0.00884\mathrm{~s}\)
Step 4 :\(\boxed{0.00884\mathrm{~s}}\)