The acceleration of a particle is defined by the relation a = -60x-15, where a a

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The acceleration of a particle is defined by the relation a = -60x-15, where a and x are expressed in m/s2 and meters, respectively. Knowing that the particle starts with no initial velocity at x = 4 m, determine the velocity of the particle when (a) x = 2 m, (b) x = 1 m, (c) x = 100 mm. A projectile enters a resisting medium at x = 0 with an initial velocity vu = 900 ft/s and travels 4 in, before coming to rest. Assuming that the velocity of the projectile is defined by the relation t = to - kx, where v is expressed in ft/s and x is in fact, determine (a) the initial acceleration of the projectile, (b) the time required for the projectile to penetrate 3.9 in, into the resisting medium. A freight elevator moving upward with a constant velocity of 6 ft's a passenger elevator which is dopped. Four seconds later the passenger elevator starts upward with a constant acceleration of 2.4 ft/s2. Determine for when and where the elevator will be at the same height, (b) the spend of the passenger elevator at that time.

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