1D_a=constant

# 1D_a=constant - 1D Particle Kinematics Motion with constant...

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1D Particle Kinematics – Motion with constant acceleration Initial kinematic quantities at the starting time: Initial position x 0 and initial velocity υ 0 . – Constant acceleration motion 0 2 0 0 2 2 0 0 1 2 2 ( ) at x x t at a x x υ υ υ υ υ = + = + + = + 0 0 – Constant velocity motion x x t υ υ υ = = + Example 1. A particle is moving along a straight line with constant acceleration. Measured from a chosen reference frame, the particle‘s position is +2 m at t = 0, and it is at the origin when t = 10 s. If the particle is observed to change its direction of motion at t = 6 s, find the acceleration. ( Ans : 0.2 m/s 2 ) 2. Free fall : A ball is thrown upward at the corner of a building as shown. It takes 5 s for the ball to hit the ground. Find the maximum height of the ball h above the starting point. ( Ans : 10 m) h

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