An archer lines up an arrow on the horizontal exactly dead center on a target as

Question

An archer lines up an arrow on the horizontal exactly dead center on a target as drawn in Figure P4.70. She releases the arrow and it strikes the target a distance h = 9.1 cm below the center. If the target is 15 m from the archer how long was the arrow in the air before striking the target. Tries 2/5 Previous Tries What was the initial velocity of the arrow as it left the bow? Report your answers in meters per second, feet per second and miles per hour. Neglect air resistance. In meters per second Tries 0/5 In feet per second Tries 0/5 In miles per hour Tries 0/5

Explanation / Answer

A) time of flight is T = sqrt(2*h/g) = sqrt(2*0.091/9.81) = 0.136 s

B) initial velocity is u = R/T = 15/0.136 = 110.12 m/s

in meters per second is 110.12 m/s

in feet per second is 110.12*3.28 = 361.21 feet/s

in miles per hour = 110.12*2.23 = 245.56 miles/hr

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