The initial speed of bullet fires from a rifle is 630m /s . The rifle is fired at the centre of a target 700m away at the same level as the target. How far above the centre of the target the rifle must be aimed in order to hit the target

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Kyan Chapman · Accepted Answer

Step 1: Given that:initial bullet velocity   =  630  m      s          −      1       The horizontal distance of the target from the position of the rifle = 700m Step 2: Calculating the height at which to point the rifle to hit the target:The bullet&#039;s initial velocity will have two components; The horizontal component(uh)   =  630  m      s          −      1       The vertical component(uv) = 0 ( as the rifle is placed horizontally to the same level as the target.)Now, let the time taken by the bullet to cover the distance of 700m  is t then,t=Distance/time  t  =            700      m              630      m              s                  −          1                    t=1.11sec Now, The rifle must be aimed to a height h to hit the target, then Using the second equation of motion under gravity for vertical motion;  h  =      u    v    t  +      1    2    g      t    2   If   g  =  10  m      s          −      2       Putting all the values we get;  h  =  0  ×  1.11  s  e  c  +      1    2    ×  10  m      s          −      2        ×  (  1.11  s  e  c      )    2  h=5×1.23h=6.15mh=6.2m Thus,The height up to which the rife must be aimed to hit the target will be 6.2m.

The initial speed of bullet fires from a rifle is 630m /s . The rifle is fired at the centre of a target 700m away at the same level as the target. How far above the centre of the target the rifle must be aimed in order to hit the target

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