Final answer:
Jamie fell for approximately 1.53 seconds from a ledge, using the equation of motion and the known acceleration due to gravity, which is 9.8 m/s².
Step-by-step explanation:
When Jamie falls from a ledge, we can use the equations of motion to determine the time of her fall. Given that Jamie's initial velocity (u) is 0 m/s and her final velocity (v) is -15 m/s, we can use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Since we are dealing with free fall, the acceleration (a) is due to gravity and is approximately 9.8 m/s² downward (we would use -9.8 m/s² since the final velocity is given as a negative number).
By rearranging the equation to solve for t, we get t = (v - u) / a. Substituting in the given values, t = (-15 m/s - 0 m/s) / (-9.8 m/s²), which simplifies to t = 15 / 9.8, yielding a fall time of approximately 1.53 seconds.