A bullet is fired with a speed of 1500 m/s in order to hit a target 100 m away. if g 10 m//s^(2), the gun should be aimed:

A bullet is fired with a speed of 1500 m/s in order to hit a target 10

1.	A bullet is fired with a speed of 1500 m/s in order to hit a target 100 m away. if g 10 m//s^(2), the gun should be aimed:
Answer» 15 cm above the TARGET 10 cm above the target 3 cm above the target directly towards the target Solution :Let the gun be fired with a veocity u at an angle `theta` with the horizontal. Therefore, to hit the target at A, the gun should be aimed at a height AB =h we have, `OA=R=(u^(2) sin 2 theta)/(g)` `or sin 2 theta=(RG)/(u^(2))=(100xx10)/((1500)^(2))=(1)/(2550)` `:. 2 theta= sin^(-1)(1)/(2250)=0.025^(@)` `or theta= 0.0.125^(@)=((0.0125xxpi)/(80))^(C)` `or theta =(2.21xx10^(-4))^(c)` But `theta=(AB)/(OA)` Or `AB=theta x OA=(2.21xx10^(-4)xx100)` `=(2.21xx10^(-2))m` `=2.21xx10^(-2)xx10^(2) cm` `=2.21 cm =3 cm`