Target #1 and Target #2 are placed as shown below. The one on lop is made of pap

Question

Target #1 and Target #2 are placed as shown below. The one on lop is made of paper so that an object hitting it will pass right through without its motion being disturbed. At what velocity and angle must you shoot an arrow so that it will pass through Target # 1 and land on Target #2? Assume that the launch and land heights are the same. To receive full credit you must show all your work! (Double Super Bonus: At what height "h" would you place a third "Double Super Bonus Target" so that the arrow would pass through it as well?)

Explanation / Answer

let Vx =Vocos    Vy=Vosin we have : 50/Vx = Vy/g => Vy =50*9.8/Vx = 490/Vx Vy.(50/Vx)- (1/2)g.(50/Vx)^2 =40 => 24500/Vx^2 -12250/Vx^2 = 40 => Vx = 17.5 m/s => Vy = 28 m/s => Vo=(17.5^2+28^2) = 33 m/s tan =Vy/Vx = 1.6 => =57.99 =58o

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