1.A car starts from rest and acquires a velocity of 54 km/h in 2 minutes.Find(i) the acceleration and(ii) distance travelled by the car duri

Question

1.A car starts from rest and acquires a velocity of 54 km/h in 2 minutes.Find(i) the acceleration and(ii) distance travelled by the car during this time.Assume,motion of the car is uniform.

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Khang Minh 5 years 2021-08-18T05:48:34+00:00 1 Answers 31 views 0

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  1. thaiduong
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    2021-08-18T05:49:45+00:00
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    Answer:

    1.) 1620 km/h^2

    2.) 2.7 km

    Explanation:

    1.) Given that the car start from rest. The initial velocity U will be equal to zero. That is,

    U = 0.

    Final velocity V = 54 km/h

    Time t = 2 minute = 2/60 = 1/30 hour

    Acceleration a will be change in velocity per time taken. That is,

    a = ( V – U )/ t

    Substitute V, U and t into the formula

    a = 54 ÷ 1/30

    a = 54 × 30 = 1620 km/h ^2

    2.) Distance travelled S by the car during the time can be calculated by using the 2nd equation of motion.

    S = Ut + 1/2at^2

    Substitute all the parameters into the formula

    S = 54 × 1/30 + 1/2 × 1620 × (1/30)^2

    S = 54/30 + 810 × 1/900

    S = 54/30 + 810/900

    S = (1620+810)/900

    S = 2430/900

    S = 2.7 km.

    Therefore, distance travelled by the car during this time is 2.7 km

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