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+. 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
t
x
x(t)=+t+a
x
0
v
0
1
2
2
t
t