A car accelerates uniformly from rest to a speed of 24.3 km/h in 5.8 s. Find the distance it travels during this time in meters.

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A car accelerates uniformly from rest to a speed of 24.3 km/h in 5.8 s.

The initial velocity of the car is u = 0 and the final velocity is v = 24.3 km/h = 6.75 m/s

The distance traveled by the car in this duration is `u*t + (1/2)*a*t^2`

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A car accelerates uniformly from rest to a speed of 24.3 km/h in 5.8 s.

The initial velocity of the car is u = 0 and the final velocity is v = 24.3 km/h = 6.75 m/s

The distance traveled by the car in this duration is `u*t + (1/2)*a*t^2`

=> `0*5.8 + (1/2)*(6.75 - 0)/5.8*5.8^2`

=> `0 + 6.75*5.8/2`

=> 19.575 m

The car travels a distance 19.575 m.

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