How Long Does it Take for a 100kg Diver to Reach the Water from a 40m Cliff?

What is the time it would take for a 100kg diver to reach the water from a 40m cliff, ignoring the effects of air resistance?

The time it would take for the diver to reach the water can be determined using the formula H=gt^2/2, where H is the height of the cliff (40m), g is the acceleration due to gravity (9.8 m/s^2), and t is the time. By rearranging the formula, we get t = 2√(H/g). Plugging in the values, t = 2√(40/9.8) = 2.86 seconds.

Calculation of Time Taken

Given:
Height of the cliff (H) = 40m
Acceleration due to gravity (g) = 9.8 m/s^2

Using the formula:
H = gt^2/2

Re-arranging the formula to solve for time (t):
t = 2√(H/g)

Substitute the values:
t = 2√(40/9.8) = 2.86 seconds

Therefore, it would take approximately 2.86 seconds for the 100kg diver to reach the water from the 40m cliff, ignoring the effects of air resistance.