Question

Chapter 2, Problem 2/163 As part of an unmanned-autonomous-vehicle (UAV) demonstration, an unmanned vehicle B launches a projectile A from the position shown while traveling at a constant speed of 32 km/h. The projectile is launched with a speed of 66 m/s relative to the vehicle. At what launch angle a should the projectile be fired to ensure that it strikes a target at C? Compare your answer with that for the case where the vehicle is stationary. Note that there are two answers for each condition. Choose 01 < az. 66 m/s 59 m J a 32 km/h B 2.3 m 340 m Answers: Moving 01 = 02= Stationary 01 = 02 =

Answer 1

66 m/s 340 m Absélute velocity of projectile in todenec "= 66608+ 32=4. ..in .in Y-direc" = 66 sen a su :: Uxt = 340 = (566054 +32 ) 2 sya ut -g+ = 166 Sise )* - * *5-81x*? (55-12.3) = 666. Sisa) + -119.81).*? 567 = (66 som )X310 – 4199* live ) 1560034+32) 56.7 224401 Sca) :4.90 166 cosat + 32) By Hit & trial method=. 2 = 30.5,94,15 134 1661012 +32 /

Now when UAV stationary =) absolute velocity & UE 6G cost = 66 sisa sn = 4x &= 340 2 6 6 cos a st Sys Ota £9+= 56.7 =(66 Sina) -5.81x +? 56.7.3 66 Sina x 340 sucosa. -4 (3.81* 1.340j . 66 cosa : 56..7 tana (340) - Ix9.81 x 340__ 66 cosa / x=38.2° , 61.3°.(By hit & trial methods moring 0,= 30.5°. it stationery, aj= 38.2 a22 94.150 L. 92261,30
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