
(c) The boy picks up a rock, the weight of which is uniformly distributed between 0.25 and
0.75 lb, and throws it with initial speed and angle given by the ba seline values. Find the
probability of the rock landing on the target.
(d) Prepare a histogram for the random variable D ¼jR x
T
j, and use it to find the empirical
probability density function
^
f
D
(u), D 0.
(e) Repeat parts (d) and (e) if W ¼W
0
¼0.5 lb and u(0) U(408,508).
5.48 A particle slides without friction along a path given by y ¼f(x) ¼x
1=2
under the influence of
gravity as shown in Figure E5.48:
x
y
y = f (x)
(0, 0)
x
0
(x
0
, y
0
)
FIGURE E5.48
The time required for the particle to slide down the