"8 seconds" is not a velocity.
The diver at the top of the cliff would have potential energy due to their position above the ground. This potential energy can be converted into kinetic energy as the diver falls towards the water.
We'll assume you mean 2 seconds AFTER he's jumped from the plane. A good estimate would be 9.8m/s times 2 (9.8m/s/s times 2 seconds -- the standard value of the acceleration due to gravity). In two seconds, the velocity would be low enough that air resistance could probably be ignored for purposes of answering your homework. So try 19.6 m/s, unless your teacher gave your data on the air resistance of the sky diver.
so what you need to do is find the velocity that the person enters the water and then use the equation v sub final squared = v sub initial squared + 2*acceleration(final distance-initial distance). final velocity is zero, find the initial velocity yourself and use 2 as the final distance where the initial distance is 0, solve for acceleration. Easy way: the decelleration would have been twice that provided by gravity because the diver decellerated to zero in half the distance of the dive. The diver starts at zero and hits max velocity in 4 meters then goes from max velocity to zero in 2 meters. 2 x 9.81 m/s2 = ___
Vf^2 = Vi^2 +2ad = 1.8m ^2 + 2(-9.8m/s^2)(3.0m) =62.04m/s Vf= sqrt(62.04m/s) =-7.9m/s
The average upward force exerted by the water can be calculated using the impulse-momentum theorem. First, find the diver's initial velocity before hitting the water using kinematic equations. Then, use the formula F_avg = mΔv/Δt, where m is the diver's mass, Δv is the change in velocity, and Δt is the time over which the force is applied.
Assuming the acceleration due to gravity is -9.81 m/s^2, we can use the kinematic equation v = u + at, where v is the final velocity, u is the initial velocity (0 m/s in this case), a is the acceleration due to gravity, and t is the time taken (2.5 seconds). Plug in the values to get v = 0 + (-9.81 × 2.5) = -24.525 m/s. The negative sign indicates the direction of the velocity, in this case, downwards.
A diver springs from the edge of the ocean with an initial upward velocity of 8 ft/s. How long will it take the diver to reach the water?
473.69 ft. exactly i measured it with my ruler
The diver at the top of the cliff would have potential energy due to their position above the ground. This potential energy can be converted into kinetic energy as the diver falls towards the water.
We'll assume you mean 2 seconds AFTER he's jumped from the plane. A good estimate would be 9.8m/s times 2 (9.8m/s/s times 2 seconds -- the standard value of the acceleration due to gravity). In two seconds, the velocity would be low enough that air resistance could probably be ignored for purposes of answering your homework. So try 19.6 m/s, unless your teacher gave your data on the air resistance of the sky diver.
Assuming that acceleration dut to gravity is 32 ft/sec2 and that air resistance is insignificant, the answer is 2.5 seconds. To show work, at 8 ft/sec v = at = 32 t t = 1/4 second jumping up and v = 0 before free fall s = 1/2 at^2 = 16t^2 = 16x.25 x .25 = 1 foot so diver free falls 81 feet 81 = 1/2 at^2 so t = 2.25 sec 2.25 + .25 = 2.5 sec
so what you need to do is find the velocity that the person enters the water and then use the equation v sub final squared = v sub initial squared + 2*acceleration(final distance-initial distance). final velocity is zero, find the initial velocity yourself and use 2 as the final distance where the initial distance is 0, solve for acceleration. Easy way: the decelleration would have been twice that provided by gravity because the diver decellerated to zero in half the distance of the dive. The diver starts at zero and hits max velocity in 4 meters then goes from max velocity to zero in 2 meters. 2 x 9.81 m/s2 = ___
Terminal velocity
Terminal Velocity.
Vf^2 = Vi^2 +2ad = 1.8m ^2 + 2(-9.8m/s^2)(3.0m) =62.04m/s Vf= sqrt(62.04m/s) =-7.9m/s
Terminal Velocity.
The average upward force exerted by the water can be calculated using the impulse-momentum theorem. First, find the diver's initial velocity before hitting the water using kinematic equations. Then, use the formula F_avg = mΔv/Δt, where m is the diver's mass, Δv is the change in velocity, and Δt is the time over which the force is applied.