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The distance, s metres, of a particle from a fixed point after t seconds $(t \ge 0)$ is given by the formula $ s=\frac{4}{3}t^3-18t^2-144t+72$ 1. Determine a formula for the velocity of the particle at t seconds 2. When the particle is at rest.
in Grade 12 Maths by Diamond (47.9k points) | 19 views

1 Answer

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velocity = displacement/time = ds/dt

1. ds/dt = 4t^2 - 36t -144

2. When particle is at rest, velocity = 0

    Therefore 4t^2 - 36t -144 = 0
by Diamond (38.5k points)

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