A drone is traveling in the positive direction along thexaxis and you have been given the following information about its flight. It is at the position

x= 0

at the time

t= 0,

and its velocity along thexaxisat any time is given by

v(t) =bct²,

where

b=20.9m/s,

c=12.6m/s³,

andvis in m/s whentis entered in seconds. Determine the following.(a) the time at which the drone changes direction

(a) the time at which the drone changes direction (b) location of the drone when it changes direction (c) acceleration of the drone when it changes direction (Indicate the direction with the sign of your answer.) m/s²