Answer:
The time taken is [tex]t = 52.5 \ s [/tex]
Explanation:
From the question we are told that
The speed limit is [tex]v__{{l}}} = 96.0 \ km/hr = \frac{96 * 1000}{3600} = 26.7 \ m/s[/tex]
The velocity of the motorist is [tex]v_m = 107 \ km/hr = \frac{107 * 1000}{3600} = 29.72 \ m/s[/tex]
The chase speed of the motorcycle patrolman is [tex]v = 131 \ km/hr = \frac{131 *1000}{3600} = 36.39 \ m/s[/tex]
The relative distance between the motorcycle patrolman and the speeder is d= 350 m
Generally the relative speed between the the motorcycle patrolman and the speeder is mathematically represented as
[tex]v_r = v - v_m[/tex]
=> [tex]v_r = 36.39 - 29.72[/tex]
=> [tex]v_r = 6.67 \ m/s [/tex]
Generally the time taken is mathematically represented as
[tex]t = \frac{v_r}{d}[/tex]
=> [tex]t = \frac{350}{ 6.67}[/tex]
=> [tex]t = 52.5 \ s [/tex]
