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3. A car starting from rest attains a velocity of 60 km/h in 10 minutes. Calculate theacceleration and the distance travelled by the car, assuming that the acceleration isuniform. |
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Answer» ▪ Initial velocity of car = zero (i.e. rest)▪ Final velocity of car = 60kmph▪ Time interval = 10minTo Find :▪ Acceleration of car.▪ Distance covered by car in the given interval of time.Concept :☞ Acceleration is defined as the ratio of change in velocity to the time interval.☞ SINCE, acceleration has SAID to be uniform, we can easily apply EQUATION of kinematics to solve this type of questions.Conversion :✏ 1kmph = 5/18mps✏ 60kmph = 60×5/18 = 16.67mps✏ 10MIN = 10×60 = 600sCalculation :↗ Acceleration of car :→ a = (v - U) / t→ a = (16.67 - 0) / 600→ a = 16.67/600→ a = 0.028 m/s²↗ Distance covered by car :→ d = ut + (1/2)at²→ d = (0×600) + (0.5)(0.028)(600)²→ d = 0 + (0.014×360000)→ d = 5040m = 5.04km |
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