To determine the time elapsed before the diver reaches the water, we can use the equations of motion under constant acceleration. In this case, the acceleration is due to gravity, which is approximately 9.8 m/s². Here's how you can calculate the time:
Determine the initial velocity (u) of the diver. Since the diver is starting from rest at the top of the cliff, the initial vertical velocity is 0 m/s.
Determine the final velocity (v) of the diver. The final vertical velocity is given as 60 m/s.
Determine the displacement (s) of the diver. The displacement is the distance the diver falls, which is equal to the height of the cliff, given as 50 m. Since the diver is moving downwards, the displacement is negative (-50 m).
Use the kinematic equation to calculate the time (t): v = u + at
Rearrange the equation to solve for time: t = (v - u) / a
Substituting the values: t = (60 m/s - 0 m/s) / (-9.8 m/s²)
Note: The negative sign is used because the acceleration due to gravity acts downwards.
Calculate the time elapsed: t = -6.12 seconds (rounded to two decimal places)
Therefore, approximately 6.12 seconds had elapsed before the diver reached the water.