Question

kristine speeds past a parked police car at 32 m/s. The police car starts from rest with a uniform acceleration of 2.5 m/s^2. How much time passes before the police car overtakes Kristine's car?. How far does she travel before the police car overtakes her car?​

Answer 1

`32 = 0 * t + (1)/(2) * 2.5 * t^(2) \\ 32 = 0 + 1.25 * t {}^(2) \\ 32 = 1.25t {}^(2) \\ (32)/(1.25) = \frac{1.25t {}^(2) }{1.25} \\ t {}^(2) = 25.6 \\ \sqrt{t {}^(2) } = √(25.6) \\ t = 5.1seconds \\`