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An auto mobile initially moving at 30 ft/s accelerates uniformly at 15 ft/s[2]. a) How fast is it moving avter 30s?
b) at the end of the 3s interval, the driver hits the brakes and now accelerates at -30 ft/s[2]. How long does it take to come to a complete stop?
 Jul 22, 2013
 #1
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i have always been weak in maths , i am trying to solve the que will post soon as i will get the solution
 Jul 26, 2013
 #2
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Its more physics.
With s(t) = 0.5 * a * t² + v * t + s_0
Therefore you'll get v(t) = s'(t) = a*t+v
=> v(30) = 15ft/s² * 30 s + 30ft/s = 480ft/s (= 146 m/s)

b) Complete stop => v(t) = 0
So: v(3) = 15ft/s² * 3 s + 30 ft/s = 75 ft/s
=> v(t) = 0 = -30ft/s² * t + 75 ft/s
=> -30ft/s² * t = -75 ft/s => t = (-75 ft/s) / (-30ft/s²) = 2,5 s
 Jul 26, 2013

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