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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
00
22
1
2
2(
)
at
x
xt
a
t
ax x
υυ
υ
=+
=+ +
−
0
0
– Constant velocity motion
x
=
=
+
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
52.5 m
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 Spring '08
 TSChang
 Physics, Acceleration

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