Physics

Physics · mechanics

Problem

The equation of the trajectory described by a particle is:

y^{2}=4 x

with

x=0, y=0

t=0

, the particle passes through the origin of coordinates. The projection of the movement on the

O X

axis is a uniformly accelerated movement with:

a=8 \mathrm{~m} / \mathrm{s}^{2}

Calculate: a) The speed of the particle when passing through the origin of coordinates. b) The instant at which the speed vector forms an angle of

30^{\circ}

with the

O X

axis. c) The intrinsic components of acceleration and the radius of curvature at the instant:

t=3

seconds.