Help Free fall, looking for time of motion off of a bridge.

AI Thread Summary
A person throws a ball upward from a bridge with an initial velocity of 23 m/s and seeks to determine its motion after 5 seconds, the time to hit the water 10 meters below, and its velocity upon impact. For part a, the displacement after 5 seconds was calculated to be -7.5 m using the kinematic equation. For part b, the same kinematic equation can be applied to find the time to hit the water, as the displacement is known but time is not. Part c can be solved using the conservation of energy principle to determine the ball's velocity at impact. The discussion emphasizes the application of kinematics and energy conservation in solving free fall problems.
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Help! Free fall, looking for time of motion off of a bridge.

Homework Statement


A person standing on a bridge throws a ball upward with an initial velocity of 23 m/s straight upwards so if it comes back down it will just pass the edge of the bridge and keep going down.
a) where will the ball be after 5.0s?
b) how long will it take to hit the water if the water 10m below the ball's release point?
c) what velocity will the ball have when it reaches the water?

Homework Equations


The kinematics equations of motion.

The Attempt at a Solution


for a) I used the equation Δd = vΔt + 1/2aΔt² (where d is displacement, v is the initial velocity, a is acceleration due to gravity, and t is the time) and I solved for d. I got -7.5 m. I'm hoping this is correct!
I don't know how to tackle b) and c) though, so advice is GREATLY APPRECIATED!
 
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when ball is going upwards, a = -g, and when it is coming downwards, a = g, g = 9.8 m/s^2
 


and yes, Welcome to PF cassiek!
 


cassiek said:
Help! Free fall, looking for time of motion off of a bridge.

Seems you were falling off the bridge.

Use the same equation for b part. This time you have displacement but not time.
use conservation of energy for the third part.
 
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