Mari menjawab soalan ku =)

A particle moves in a vertical plane under gravity and an air resistance whose magnitude per unit mass is k times the speed of the particle, where k is a positive constant. The coordinates of the particle at time t, with respect to a horizontal axis Ox and a vertically upward axis Oy, are (x,y).

Show that

d^2 x /dt^2 = -k dx/dt

d^2y/dt^2 = - k dy/dt - g ...... (*)

Given that a projectile with a terminal speed of 30.5 m/s is fired when t=0 from O with an initial speed of 30.5 m/s at an inclination of 45 degree.

(a)Solve (*) for x and y in term of t.
(b) Plot the trajectory of the projectile.
(c) Compare the path trajectory to that when there is no air resistance.


Aku dah nak botak pikir solutionnya..huwaaa..tak lawa lah aku camni..grrrr. Udah sakit kepala aku ni. Hari ni kena berkampung kat library la. Nasib lah Math Engine punya mid term tunda next week. Kalau tak..lagi lah botak aku jawabnya,1 hari ada dua test. Math engine + Ordinary Dif Equation.

TOLONG LAH KEPADA SESIAPA YANG BOLEH JAWAB..TOLONG JAWABKAN YER =)HEHEHE BAGI HINT PUN KIRA OK LA..HEHEHE