A steel sphere in a tank of oil is given an initial velocity v = 2i (m/s) at the origin of...

A steel sphere in a tank of oil is given an initial velocity v = 2i (m/s) at the origin of the coordinate system shown. The radius of the sphere is 15 mm. The density of the steel is 8000 kg/m3 and the density of the oil is 980 kg/m3. If V is the sphere’s volume, the (upward) buoyancy force on the sphere is equal to the weight of a volume V of oil. The magnitude of the hydrodynamic drag force D on the sphere as it falls is |D| = 1.6|v| N. where |v| is the magnitude of the sphere’s velocity in m/s. What are x and y components of the sphere’s velocity at t = 0.1 s?