An inattentive driver is traveling 20.0 m/s when he notices a red light ahead. His car is capable of decelerating at a rate of 3.33 m/s^2 .
If it takes him 0.250s to get the brakes on and he is 78.0m from the intersection when he sees the light, will he be able to stop in time?
If it takes him 0.250s to get the brakes on and he is 78.0m from the intersection when he sees the light, will he be able to stop in time?
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distance traveled in response time(s1) = u x t1 = 20 x 0.25 = 5 m
=>BY v^2 = u^2 + 2as
=>0 = (20)^2 - 2 x 3.33 x s2
=>s2 = 60.06 m
=>Total distance = 60.06 + 5 = 65.06 m
=>as 65.06<78
=>He will stop in time.
=>BY v^2 = u^2 + 2as
=>0 = (20)^2 - 2 x 3.33 x s2
=>s2 = 60.06 m
=>Total distance = 60.06 + 5 = 65.06 m
=>as 65.06<78
=>He will stop in time.