1. The problem statement, all variables and given/known data A regulation volleyball court is L = 18.0 m long and a regulation volleyball net is d = 2.43 m high. A volleyball player strikes the ball a height h = 1.73 m directly above the back line 1)In volleyball, it is often advantageous to serve the ball as hard as possible. If you want the ball to land in the opponent's court, however, there is an upper limit on the initial ball speed for a given contact point. At this maximum speed, the ball just barely makes it over the net and then just barely lands in bounds on the back line of the opponent's court. For the contact point given in the previous problems, what is this maximum initial speed? 2)If you hit the ball at this maximum speed, at what angle should you strike it in order to make sure the ball lands in bounds?
(a) For the contact point given in the previous problems, what is this maximum initial speed?
using equation of motion 3, we have
v2 = v02 + 2 g d
where, v = final speed = 0 m/s
(0 m/s)2 = v02 + 2 (-9.8 m/s2) (2.43 m)
v0 = 47.628 m2/s2
v0 = 6.90 m/s
(b) If we hit the ball at this maximum speed, at what angle should we strike it in order to make sure the ball lands in bounds?
using a formula, we have
tan = v02 / h g
= tan-1 [(47.628 m2/s2) / (1.73 m) (9.8 m/s2)]
= tan-1 (2.8092)
= 70.4 degree
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