Final answer:
To find the jump distance, the time taken for leg extension is calculated first, then this is used to determine the exit velocity. Assuming no horizontal forces post-takeoff, the acceleration phase distance equals the total jump distance. The jump distance is found using the kinematic equation for distance with initial velocity of zero.
Step-by-step explanation:
To determine how far the individual can jump in a standing broad jump with the given parameters, we will use the kinematic equations from physics. The acceleration a imparted on the jumper from the extended legs is 1.25g, where g is the acceleration due to gravity (approximately 9.81 m/s²). The jump distance can be calculated using the formula for distance s when acceleration and displacement are known: s = ut + (1/2)at², where u is the initial velocity (which is 0 for a standing jump), t is the time and a is the acceleration.
First, determine the time t it takes for the jumper to extend their legs using the formula: t = sqrt(2s/a). Plugging in the displacement s of 0.600 meters and the acceleration of 1.25g, we get:
t = sqrt(2 * 0.600 m / (1.25 * 9.81 m/s²))
Using the time calculated, we can then determine the jump's velocity using the formula: v = at. Finally, since the jumper leaves the ground with this velocity and we assume a level surface for simplicity, the horizontal distance traveled (the jump distance) will be the same as when the jumper was accelerating, because there are no opposing horizontal forces. Therefore, the total jump distance will be:
Jump distance = s = ut + (1/2)at² = (1/2)at² (since u = 0)