Recently, there are reports of people throwing plastics on the waters of a local lagoon. To address this, the caretakers check the area by using drones. The velocity of a drone can be expressed as a function of time, and it is described by the equation
Find the magnitude and direction of the drone's velocity and acceleration 3 seconds after launch.
At any time, t seconds, a unique particle's location can be pinpointed by using variable coordinates. In the common plane (xy-plane), these are given by
x(t) = 0.5At m
y(t) = Bt2 + 5.5 m
where A = 6.3 m/s and B = -0.08 m/s2.
After half a minute, what is the magnitude and direction of this particle's acceleration and velocity?