Homework Help: math

Posted by myralove on Monday, September 27, 2010 at 4:40am.

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.

No one has answered this question yet.

Answer this Question

Related Questions

physics - A jet plane is flying with a constant speed along a straight line, at ...
physics HELP - A jet plane is flying with a constant speed along a straight line...
phyics - A jet plane is flying with a constant speed along a straight line, at ...
Physics - A jet plane is flying with a constant speed along a straight line, at ...
physics - Two particles, with identical positive charges and a separation of 2....
physics need help! - I really need help on this Q, don;t know what to do with ...
Physics - A plane is ﬂying horizontally with speed 152 m/s at a ...
physics - trying to study but stuck on this problem. Two particles, with ...
math - Which three options are true about motion in a straight line. A. A ...
Physics - a skydiver is subject to two forces: gravity and air resistance. ...

For Further Reading

First Name:
School Subject:
Answer: