= m/s The vector position of a particle varies in time according to the expressi

Question

=                                       m/s The vector position of a particle varies in time according to the expression rarrowbold = 7.40 i hat bold ? 5.00t2 j hat bold where rarrowbold 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 = 4.00 s.

Explanation / Answer

a) v = dr/dt = -10 t j m/s

b) a = dv/dt = -10 j m/s^2

c) r = 7.4 i - 80 j

v = -40 j

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