Question

The position of a particle moving on a straight line is given as x = t2–2t (where x is in m and t is in s). The position of the particle when its velocity is zero

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Answer 1

Answer:

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Answer 2

The position of the particle when its velocity is zero is x = -1 m.

Given:

Position of Particle: x = t² - 2t

To Find:

Position of the particle when its velocity becomes zero.

Solution:

→ Position function of the particle: x = t² - 2t

The velocity function (v) of the particle is equal to the derivative of the position function (x) of the particle with respect to time.  

$Velocity (v) = \frac{dx}{dt} \\\\v = \frac{d}{dt} (t^{2} -2t) = 2t-2\\\\v=2t-2$

The time at which the velocity becomes zero:

→ 2t-2 = 0

∴ t = 1

→ The velocity of the particle becomes zero at t = 1 sec

→ Position of the Particle: x = (1)² - 2(1) = -1 m

∴ x = -1 m when velocity becomes zero.

Hence, the position of the particle when its velocity is zero is x = -1 m.

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