Use of quadratic function Stopping distance. The stopping distance of a vehicle is proportional to the square of its velocity. This relativeness describes.

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Presentation transcript:

Use of quadratic function Stopping distance

The stopping distance of a vehicle is proportional to the square of its velocity. This relativeness describes a following formula where: -h describes the stopping distance in metres -v – velocity of vehicle in km/h -a – constant factor

Exercise On the icing road, a car driving with velocity of 70 km/h should bring to a stop on the road 74 m. a)State the formula of function describing the relativeness of stopping distance to velocity on the icing road. b)Estimate the stopping distance with velocity of 50km/h and 100km/h

Data: v = 70 km/h h = 74 m searched: formula h = av 2 Data and searched: Solution: Answer: Searched function’s formula: h = 0,015v 2

Data: v = 50 km/h searched: h = ? Data and searched: Solution: Answer: Stopping distance on the icy road with V=50km/h equals 37,5m.

Data: v = 100 km/h searched: H = ? Data and searched: Solution: Answer: Stopping distance on the icy road with V=100km/h equals 150m. V H09,437,584,4150