The brakes of a certain car can produce an acceleration of 6 m/s2. (a) How long does it take the car to come to a stop from a velocity of 30 m/s? (b) How far the car travel during the time the brakes are applied?
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Answer:
(a) 5 s
(b) 75 m
Explanation:
(a) u = 30 m/s
v = 0 m/s
a = -6 m/s²
As v = u + at,
0 = 30 + (-6) (t)
-6t = -30
t = 5 s
(b) As 2as = v² - u²,
(2) (-6) (s) = (0)² - (30)²
-12s = -900
s = 75 m
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