The world long jump record is 8.95 m (mike powell, usa, 1991). einaaa@berkeley. edu treated as a projectile, what is the maximum range, in meters, obtainable by a person if he or she has a take-off speed of 9.2 m/s? assume the motion is over level ground and the initial velocity makes an angle of 45° with the horizontal.

8.66 m

Explanation:

= initial speed of person = 9.2 m/s

= Angle of launch = 45°

Consider the motion of the person along the vertical direction.

= initial speed of person =

= acceleration due to gravity =

= time of travel

= vertical displacement =

Using the kinematics equation that suits the above list of data, we have

Consider the motion of the person along the horizontal direction.

= speed of person =

= Horizontal distance traveled

= time taken =

Since there is no acceleration along the horizontal direction, we have