Asmall space probe of mass 220 kg is launched from a spacecraft near mars. it travels toward the surface of mars, where it will eventually land. at a time 22.5 seconds after it is launched, the probe is at location < 4600, 7700, 0> m, and at this same instant its momentum is < 47000, -7000, 0> kg*m/s. at this instant, the net force on the probe due to the gravitational pull of mars plus the air resistance acting on the probe is < -4100, -780, 0> n.
1. assuming that the net force on the probe is approximately constant during this time interval, what is the change of the momentum of the probe in the time interval from 22.2 seconds after the probe is launched to 22.6 seconds after the launch?
2. what is the the momentum of the probe at time 22.6 seconds after launch?

(1) The change in momentum of the space probe between the time t = 22.2 to 22.6 is (-1640, -312, 0) kgm/s

(2)The momentum at t = 22.6s is (46590, 6922, 0)

Explanation:

From Newtons second law the change in momentum us equal to impulse with is the product of force and time.

All the given quantities were grouped into the (x, y, z) axis and each of them treated separately.

Change in momentum = net force × change in time.

(2) the momentum at t=22.6s is equal to the sum of the momentum at 22.5s plus the change in momentum from t = 22.5s to t = 22.6s.

Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.