A body is moving with velocity 30 m/s towards east. After 10 s its velocity becomes 40 m/s towards the north. The average acceleration of the body is

7 m/s²

$square root of 7 space m divided by s squared$

5 m/s²

1 m/s²

Solution

5 m/s²

Average space acceleration space equals space fraction numerator Change space in space velocity over denominator Total space time end fraction straight a space equals space fraction numerator vertical line straight v subscript straight f space minus space straight v subscript straight i vertical line over denominator increment straight t end fraction equals space fraction numerator square root of 30 squared plus 40 squared end root over denominator 10 end fraction space equals space fraction numerator square root of 900 plus 1600 end root over denominator 10 end fraction space equals space 5 space ms to the power of negative 2 end exponent

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