64. If a car at rest accelerates uniformly to a speed of
144 km/h in 40 seconds, it covers a distance of :
(1) 200 m
(2) 400 m
(3) 1440 m
(4) 2980 m
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Answer:
Given,
Initial speed (u) = 0 m/s
Final speed (v) = 144 km/hr
= (144*5)/18 m/s
= 40 m/s
Time (t) = 40s
Let the Distance be denoted as S.
Acceleration (a) = (v-u)/t
= 40/40 m/s²
= 1 m/s²
∴ v² = u²+2aS
= (40)² = [2*1*S]
= 1600 = 2S
= 800 m = Distance
I hope this helps.
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