1-D Particle Kinematics – 1-D 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
=
+
=
+
+
= +
−
– Constant velocity motion
0
0
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 starting position is +2 m at
t
= 0. The particle is observed to move to the origin with a velocity of 0.8
m/s when
t
= 10 s. Find the time instant when the particle change its direction of motion.
(
Ans
:6 s)
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.

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