The vector position of a particle varies in time according to theexpression r =

Question

The vector position of a particle varies in time according to theexpression r = (3.60i - 7.40t2j) m. (a) Find expressions for the velocity andacceleration as functions of time. (Use t,i, and j as necessary.)
v = 1_______ m/s
a = 2________ m/s2
(b) Determine the particle's position and velocity at t =3.00 s.
r = 3_________ m
v = 4__________ m/s (a) Find expressions for the velocity andacceleration as functions of time. (Use t,i, and j as necessary.)
v = 1_______ m/s
a = 2________ m/s2
(b) Determine the particle's position and velocity at t =3.00 s.
r = 3_________ m
v = 4__________ m/s

Explanation / Answer

Given position of theparticle   r = (3.60 i - 7.40t2j)m Velocity of the particle v = dr / dt                                       = -7.4 * 2t j                                       = -14.8 t j Accleration of the particle a = d v / dt                                            =-14.8 j (b). Position at t = 3 s is     r = 3.6 i - 66.6 j       velocity at t = 3 sis v = -44.4 j

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