The horizontal and vertical displacements of a particle moving along a curved line…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

The horizontal and vertical displacements of a particle moving along a curved line are given by

x=5t

and

y=2t^2+t

. The time after which its velocity vector makes an angle of

45^\circ

with the horizontal is (1)

0.5\ \text{s}

(2)

1\ \text{s}

(3)

2\ \text{s}

(4)

1.5\ \text{s}