Monday
March 30, 2015

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.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

physics - Two particles, with identical positive charges and a separation of 2....
math - Which three options are true about motion in a straight line. A. A ...
math - Which three options are true about motion in a straight line. A. A ...
physics - a particle of mass m moves in a x-y plane. The coordinates of the ...
uniten - 3. At t = 0 , a particle leaves the origin with a velocity of 9.0 m/s ...
physics - trying to study but stuck on this problem. Two particles, with ...
Physics - Two particles, with identical positive charges and a separation of 2....
Physics #16 - Two particles, with identical positive charges and a separation of...
Physics - An -particle has a charge of +2e and a mass of 6.64 10-27 kg. It is ...
Physics - An -particle has a charge of +2e and a mass of 6.64 10-27 kg. It is ...

Members