A particle moves with a constant velocity of directed east of north
PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A particle moves with a constant velocity of 20m s−1 directed 30∘ east of north. At t=0 the particle is at the origin of a rectangular coordinate system in which the x-axis points east and the y-axis points north.
(a) Write the position vector r(t) of the particle as a function of time t, expressed in component form.
(b) Determine the x- and y-coordinates of the particle after 15s.
(c) Find the time at which the y-coordinate of the particle becomes exactly 200m.