It is possible to shoot an arrow at a speed as high as 102 m/s. (a) if friction is neglected, how high would an arrow launched at this speed rise if shot straight up?

An arrow at a speed as high as 102 m/s straight up will travel 530.82 m height

Explanation:

   We know the equation of motion , where s is the displacement, u is the initial velocity, a is the acceleration and v is the final velocity.

  In this case body is projected straight up, so final velocity = 0 m/s, initail velocity = 102 m/s, acceleration = -9.8 and we need to find displacement, that is the height traveled by arrow.

   Substituting

   So height traveled by arrow = 530.82 m