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 = (7.80 i -7.60t2j) m. (a) Find expressions for the velocity andacceleration as functions of time. (Use t,i, and j as necessary.)
v = __________________________________m/s
a =__________________________________m/s2
(b) Determine the particle's position and velocity at t =5.00 s.
r = __________________________________m
v = __________________________________m/s (a) Find expressions for the velocity andacceleration as functions of time. (Use t,i, and j as necessary.)
v = __________________________________m/s
a =__________________________________m/s2
(b) Determine the particle's position and velocity at t =5.00 s.
r = __________________________________m
v = __________________________________m/s

Explanation / Answer

Given position of theparticle   r = (7.80 i - 7.60t2j)m Velocity of the particle v = dr / dt                                       = -7.6 * 2t j                                       = -15.20 t j Accleration of the particle a = d v / dt                                            =-15.2 j (b). Position at t = 5 s is     r = 7.8 i - 190 j       velocity at t = 5 sis v = -76.0 j

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