# 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.

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x(t)=+t+a

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t