(a) Find an expression for the velocity of the particle as a function of time. (

Question

(a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)

(b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)

(c) Calculate the particle's position and velocity at t = 3.00 s.

=                             m/s
The vector position of a particle varies in time according to the expression = 8.40 ? 6.60t2 j hat bold where is in meters and t is in seconds. Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) Calculate the particle's position and velocity at t = 3.00 s.

Explanation / Answer

v = dr/dt = -13.20 t j

a = dv / dt = -13.2 j

at t=3 , r = 8.40 i - 59.4 j

v = -39.60 j

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