A car starts from rest and accelerates uniformly to a speed of 72 km per hour over a distance of 500m. calculate acceleration​

Question

A car starts from rest and accelerates uniformly to a speed of 72 km per hour over a distance of 500m. calculate acceleration​

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Khải Quang 4 months 2021-09-05T04:07:10+00:00 1 Answers 58 views 0

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    2021-09-05T04:08:35+00:00

    Answer:

    0.4 m/s^2 or 5184 km/h^2

    Explanation:

    To find the acceleration, given the inicial and final speed of the car, we can use the Torricelli’s formula:

    V^2 = Vo^2 + 2*a*D

    Where V is the final speed, Vo is the inicial speed, a is the acceleration and D is the distance travelled. So, with V = 72 km/h, Vo = 0 (starts from rest) and D = 0.5 km, we have:

    72^2 = 0 ^2 + 2*a*0.5

    a = 72^2 = 5184 km/h^2

    For an acceleration in m/s^2, we should use the speed in meters per second (72 / 3.6 = 20 m/s) and the distance in meters (D = 500):

    20^2 = 0^2 + 2*a*500

    400 = 1000a

    a = 0.4 m/s^2

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