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1-The velocity of a particle is v = { 6 i + ( 28 - 2...

1-The velocity of a particle is v = { 6 i + ( 28 - 2 t ) j } m/s, where t is in seconds. If r=0 when t=0, determine particle displacement during time interval t = 3 s to t = 8 s in the y direction.

2-A particle, originally at rest and located at point (1 ft, 4 ft, 5 ft), is subjected to an acceleration of a={ 3 t i + 17 t2k} ft/s. Determine magnitude of the particle’s position at t = 1 s.

3-The velocity of a particle is given by v = { 14t2 i + 3t3j + (8t+4) k } m/s, where t is in seconds. If the particle is at the origin when t=0s, determine magnitude of particle’s acceleration when t=7s.

4-A rocket is fired from rest at x=0 and travels along a parabolic trajectory described by y2 = { 180 (103) x } m. If the x component of acceleration is ax = t2/7, where t is in seconds, determine the magnitude of the rocket’s velocity when t = 5 s.

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