Question

In: Mechanical Engineering

The position of a particle is r={(3t3−2t)i−(4t1/2+t)j+(3t2−2)k}m, where t is in seconds. Part A Determine the...

The position of a particle is r={(3t3−2t)i−(4t1/2+t)j+(3t2−2)k}m, where t is in seconds.

Part A

Determine the magnitude of the particle's velocity when t = 0.5 s .

Express your answer with the appropriate units.

v=?

Part B

Determine the magnitude of the particle's acceleration when t = 0.5 s .

Express your answer with the appropriate units.

a=?

Solutions

Expert Solution

In the given problem, the position of particle was given. So, at time t = 0.5 seconds, we need to find the acceleration and velocity of the particle as follows. The complete step by step procedure for solution is provided below.

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