Trev
stix
Need help on some q's, thanx:
(from Arnold Exercise 7.1)
2) A particle moves in a straight line with retardation which increases uniformly with the distance moved. Initially the retardation is 5ms<sup>-2</sup> and when the particle has moved a distance of 12m the retardation is 11m<sup>-2</sup>.
Find the distance moved by the particle in coming to rest if the initial velocity is 20ms<sup>-1</sup>.
3) A particle moves in a straight line away from a fixed point O in the line, such that when it's distance from O is x it's speed v is given by v = k/x, for some constant k.
a) Show that the particle has retardation which is inversely proportional to x<sup>3</sup>.
b) If A, B, C and D are points in that order on the straight line, such that the distances AB, BC and CD are all equal. Show that the time taken to travel these successive distances increases in arithmetic progression.
Thanx ahead, and what the hell is retardation? lol.
(from Arnold Exercise 7.1)
2) A particle moves in a straight line with retardation which increases uniformly with the distance moved. Initially the retardation is 5ms<sup>-2</sup> and when the particle has moved a distance of 12m the retardation is 11m<sup>-2</sup>.
Find the distance moved by the particle in coming to rest if the initial velocity is 20ms<sup>-1</sup>.
3) A particle moves in a straight line away from a fixed point O in the line, such that when it's distance from O is x it's speed v is given by v = k/x, for some constant k.
a) Show that the particle has retardation which is inversely proportional to x<sup>3</sup>.
b) If A, B, C and D are points in that order on the straight line, such that the distances AB, BC and CD are all equal. Show that the time taken to travel these successive distances increases in arithmetic progression.
Thanx ahead, and what the hell is retardation? lol.
