11 A bullet travelling at \( 2 \times 10^{3} \mathrm{~km} \mathrm{~h}^{-1} \) hits a target 500 m away. Find the time of the bullet's flight, in seconds.

To find the time of the bullet's flight, we can use the formula for time, which is given by: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] Given: - Distance to the target = 500 m - Speed of the bullet = \( 2 \times 10^{3} \mathrm{~km} \mathrm{~h}^{-1} \) First, we need to convert the speed from kilometers per hour to meters per second. 1 kilometer = 1000 meters 1 hour = 3600 seconds Therefore, the speed in meters per second is: \[ 2 \times 10^{3} \mathrm{~km} \mathrm{~h}^{-1} = 2 \times 10^{3} \times \frac{1000}{3600} \mathrm{~m} \mathrm{~s}^{-1} \] Now, we can calculate the time of the bullet's flight using the formula. Calculate the value by following steps: - step0: Calculate: \(\frac{500}{\left(\frac{2\times 10^{3}\times 1000}{3600}\right)}\) - step1: Remove the parentheses: \(\frac{500}{\frac{2\times 10^{3}\times 1000}{3600}}\) - step2: Reduce the fraction: \(\frac{500}{\frac{5000}{9}}\) - step3: Multiply by the reciprocal: \(500\times \frac{9}{5000}\) - step4: Reduce the numbers: \(1\times \frac{9}{10}\) - step5: Multiply: \(\frac{9}{10}\) The time of the bullet's flight is approximately 0.9 seconds.