A particle moves in a horizontal z-y plane with a position vector given by r = (At³, Bt²) where this time in seconds (s) and A and B are constants with values of A = 3.0 m s-5 and B = 2.0 m s-². (a) Find the acceleration vector a in terms of A, B and t. (b) Use your answer to part (a) to find the magnitude of the acceleration of the particle at time t = 0.50 s.
A particle moves in a horizontal z-y plane with a position vector given by r = (At³, Bt²) where this time in seconds (s) and A and B are constants with values of A = 3.0 m s-5 and B = 2.0 m s-². (a) Find the acceleration vector a in terms of A, B and t. (b) Use your answer to part (a) to find the magnitude of the acceleration of the particle at time t = 0.50 s.
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Transcribed Image Text:A particle moves in a horizontal z-y plane with a position vector given
by
r = (At³, Bt²)
where t is time in seconds (s) and A and B are constants with values of
A = 3.0 m s-5 and B = 2.0 m s-².
(a) Find the acceleration vector a in terms of A, B and t.
(b)
Use your answer to part (a) to find the magnitude of the
acceleration of the particle at time t = 0.50 s.
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