A team of eight dogs pulls a sled with waxed wood runners on wet snow (mush!). The dogs have average masses of 20.0 kg, and the loaded sled with its rider has a mass of 225 kg. (a) Calculate the magnitude of the acceleration (in m/s2) starting from rest if each dog exerts an average force of 175 N backward on the snow. m/s2 (b) What is the magnitude of the acceleration (in m/s2) once the sled starts to move? m/s2 (c) For both situations, calculate the magnitude of the force (in N) in the coupling between the dogs and the sled. Fpart (a) N Fpart (b) N

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?