ponen ore it is 35.0 ce of FIGURE 4-20 Problem 43 e of vel 44.A certain projecti

Question

ponen ore it is 35.0 ce of FIGURE 4-20 Problem 43 e of vel 44.A certain projectile is launched with an initial speed n o.Ati angle? its highest point its speed is/4. What was the launch SECTION 4-5 PROJECTILE MOTION: KEY CHARACTERISTICS 45. Punkin Chunkin In Sussex County, Delaware, a post Halloween tradition is "Punkin Chunkin," in which contestan build cannons, catapults, trebuchets, and other devices to greatest distance. Though hard to believe, pumpkins have been projected a dis- tance of 4086 feet in this contest. What is the minimum initial speed needed for such a shot?

Explanation / Answer

44)at highest point, only horizontal velocity exist.

that means, v0 /4 = v0 cos

cos = 1/4

= 75.520

45) the greatest distance means maximum range = 4086 feet

For maximum range , the launch angle should be 45 degree.

Rmax = v2 sin (2 ) / g = v2 sin 90 /g

Rmax = v2 / g

now 1 foot = 0.3048m

so , Rmax = 4086 x 0.3048 = 1245.4128m

v = ( Rmax x g )1/2 = ( 1245.4128 x 9.8 )1/2 = (12205.045)1/2 = 110.476m/s

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