The object of the long jump is to launch oneself as a

Question

projectile and attain the maximum horizontal range
(Fig. 3–26). Here we shall treat the long jumper as a
particle even though the human body is fairly large
compared to the size of the trajectory. Actually there is
one point within the athlete’s body, called the “center of
mass” (to be studied in Chapter 5), that behaves as a
projected particle. Our analysis of projectile motion
implies that the long jumper should try to maximize v0
and take off at an angle as close to 45.0� as possible.
However, it is easier to get a large value of vx0 (by a
running start) than it is to get a large value of vy 0; consequently
'0 is usually much less than 45.0�. Suppose the
jumper takes off with vx0
9.00 m/s and jumps with a
value of vy0 sufficient to reach a vertical height of 1.00 m.
Find v0, '0, and the horizontal range. The world record,
as of 1994, is 8.95 m.