At a sports car rally, how long did it take the car to travel 191 meters?
How long (in seconds) did it take the car to travel the 191 meters?
It took the car 6.2 seconds to travel the 191 meters. To calculate the time it took for the car to travel the given distance, we can use the equation: \[ d = \frac{1}{2} \cdot a \cdot t^2 \] \[ d = 191 \, \text{m} \] \[ a = 10 \, \text{m/s}^2 \] Rearranging the equation, we have: \[ t^2 = \frac{2d}{a} \] Substituting the values, we get: \[ t^2 = \frac{2 \times 191 \, \text{m}}{10 \, \text{m/s}^2} \] \[ t^2 = 38.2 \, \text{s}^2 \] Taking the square root of both sides, we find: \[ t = \sqrt{38.2} \, \text{s} \] Rounding to 1 decimal place, we get: \[ t \approx 6.2 \, \text{s} \]