A tractor moves along a straight line on a flat horizontal field with a constant speed
v. A sled is attached to the tractor by a taut, inelastic rope of length
L. The sled has runners that force it to always move in the direction the rope is pointing (i.e., directly toward the tractor). At a certain moment, the rope makes an angle
θ (where
0<θ<90∘) with the tractor's path. What is the magnitude of the sled's acceleration at this moment?