Kayleigh is driving a car at 80k/h when she spots a sign that read "bridge out ahead." it takes her 1.0 s to react and begin braking. the car slows down at a rate of 3.0 m/s^2. luckily, she stops 5.00 meters short of the washed-out bridge

a)how much time was required to stop the car once the brakes were applied
b)how far was Kayleigh from the bridge when she first noticed the sign?

1 answer

80 km/hr = 22.22 m/s
from the time she started braking, her velocity is
v = 22.2 - 3t
So, it takes her 7.4s to stop

Now you can figure the distance in the usual way. Be sure to add the 22.2m gone before she started to brake.
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