A student takes a strand of copper wire and forms it into a circular loop of circumference of 0.395 m. The student then places the loop in a uniform, constant magnetic field of magnitude 0.00303 T that is oriented perpendicular to the face of the loop. Pulling on the ends of the wire, they reduce the circumference of the loop to 0.127 m in a time interval of 0.652 s. Assuming that the loop remains circular as it shrinks, what is the magnitude of the average emf  induced around the loop during this time interval?

Afaulty model rocket moves in the xy-plane (the positive y direction is vertically upward). the rocket's acceleration has components ax(t) = ? t2 and ay(t) = ? ? ? t, where ? = 2.50 m/s4 , ? = 9.00 m/s2 , and ? = 1.40 m/s3 . at t = 0 the rocket is at the origin and has velocity ~v0 = v0x ? i + v0y ? j with v0x = 1.00 m/s and v0y = 7.00 m/s. (a) calculate the velocity and position vectors as functions of time. (b) what is the maximum height reached by the rocket? (c) sketch the path of the rocket. (d) what is the horizontal displacement of the rocket when it returns to y = 0?