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
00
22
1
2
2(
)
at
x
x
t
at
ax x
υυ
υ
=
+
=
++
=
+−
– Constant velocity motion
0
0
xx t
=
=
+
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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 '09
 LYNDON
 Acceleration, Velocity, speeding car, constant acceleration motion

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