1. find the phase space of the harmonic oscillator
x_double_dots + (w^2)x = 0
and the one parameter group of diffeomorphisms gt . also find two different
type of orbits. are these orbits phase curves?
2. consider the nonlinear pendulum
x_double_dots + sin(x) = 0
describe four different types of phase curves for the nonlinear pendulum.

Work out sian speed for the first 30 minutes of her journey. give your answer in km/h.

The drag force, fd, imposed by the surrounding air on a vehicle moving with velocity v is given by fd = cdaρv 2/2 where cd is a constant called the drag coefficient, a is the projected frontal area of the vehicle, and ρ is the air density. an automobile is moving at v = 80 kilometers per hour with cd = 0.28, a = 2.3 m2, and ρ = 1.2 kg/m3.

Which stable element is used to determine the age of volcanic rock? a- argon b- carbon-14 c- potassium d- carbon-12