# Motion in Two Dimensions with Constant Acceleration

Motion in Two Dimensions with Constant Acceleration

A particle starting at position with initial velocity subjected to a constant acceleration follows a trajectory given by (t)=+t+t. For one-dimensional motion, say in the direction, this reduces to . A projectile fired upward at an angle describes a parabolic trajectory when subject to the downward acceleration of gravity. The path of the particle up to the time is shown by a dotted curve.

→

r

0

→

v

0

→

a

r

v

0

v

0

1

2

a

2

x

x(t)=x+vt+at

0

0

1

2

2

t