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where
m
is the mass,
v
i
the initial velocity, and
v
f
the final velocity of the ball. Thus,
()
(
)
3
avg
0.40kg 14m s
1200 N 27 10 s
67m s.
0.40kg
i
f
mv
F
t
v
m
−
−×
−Δ
==
=
−
(a) The final speed of the ball is

f
v
=
67 m/s.
(b) The negative sign indicates that the velocity is in the –
x
direction, which is opposite to
the initial direction of travel.
(c) From the above, the average magnitude of the force is
3
avg
1.20 10 N
F
=×
.
(d) The direction of the impulse on the ball is –
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 Spring '08
 Any
 Physics, Force, Momentum

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