f.4 phys,,mechanics,,about car.

2008-09-26 5:38 am
When a car is travelling at 18ms^-1, the driver suddenly sees a dog sitting on the road at a distance 45m in front of the car. The driver then applies the brake to decelerate the car at a constant rate of 6ms^-2.

a) If the reaction time of the driver is 0.6s, would the car hit the dog?
b) If the driver is drunk so that his reaction time is lengthened to 1.2s, would the car hit the dog?

回答 (2)

2008-09-26 5:50 am
✔ 最佳答案
a. Consider the journey when decelerating.

Initial speed, u = 18 ms-1

Final speed, v = 0

Acceleration, a = -6 ms-2


By v2 = u2 + 2as

0 = (18)2 + 2(-6)s

Braking distance, s = 27 m

Now, during reaction time, the car is moving with uniform velocity.

By d = ut

d = (18)(0.6) = 10.8 m

So, total stopping distance = d + s = 10.8 + 27 = 37.8 m

which is smaller than the initial distance between the car and the dog.

So, the car will stop before it hits the dog. Therefore, it will not hit the dog.


b. Now, thinking distance, d = 1.2(18) = 21.6 m

Total stopping distance = d + s = 21.6 + 27 = 48.6 m

which is larger than the initial distance between the dog and the car.

So, the car will hit the dog.

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2008-12-02 4:48 am
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