If the velocity v of a particle moving along a straight line decreases linearly with its displacement S is 20 m s - 1 to a value approaching to zero at S = 30 m , then the acceleration of the particle at S = 15 m , is

Question

If the velocity v of a particle moving along a straight line decreases linearly with its displacement S is 20 m s - 1 to a value approaching to zero at S = 30 m , then the acceleration of the particle at S = 15 m , is, 2 3 m s − 2, − 2 3 m s − 2, 20 3 m s − 2, − 20 3 m s − 2

MARKS App · Accepted Answer

Slope of line = - 2 3 Equation of line is v - 2 0 = - 2 3 S - 0 ⇒ V = 2 0 - 2 3 S … i Velocity at S = 15 m, i.e., v = 20 - 2 3 15 = 10 m s - 1 a = v d v d s = v × s l o p e a = 10 - 2 3 = − 20 3 m s − 2

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