# Question: these definitions will help with the following question reaction time...

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These definitions will help with the following question: Reaction time is the time you take from sensing a situation until you apply the brakes Reaction distance is the distance travelled during your reaction time Braking distance is the distance travelled from when you apply the brakes until you stop Stopping distance = Reaction distance + Braking distance Troy was travelling at 75 km/h when he saw an obstacle over the road. His reaction time was 1.6 seconds.

a) (i) What was his reaction distance in metres (correct to one decimal place)?

(ii) Troy put on his brakes and stopped 23 m later. What was his stopping distance in metres (correct to one decimal place)?

b) (i) Use the braking distance formula 2 d = kv^2 , where d = 23 and v km/h is the initial speed of Troy’s car to find the value of k, correct to 3 three decimal places.

(ii) What would be Troy’s braking distance

(d), when travelling in the same car at 89 km/h (v), correct to one decimal place.