Solving for Time and Velocity with Only Three Variables

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To solve the physics problems involving time and velocity with only three variables, it's essential to identify the fourth variable needed for the equations of motion. In the first scenario, where Heather and Jerry throw rocks, understanding the timing of their throws and the effects of gravity will help determine the elapsed time between the splashes. For the second problem, involving a rock falling into a 10m deep hole, the final velocity can be calculated using kinematic equations, considering the initial velocity and acceleration due to gravity. It's crucial not to assume the final velocity is zero unless the object comes to rest, which is not the case here. Properly applying the kinematic equations will yield the necessary solutions for both problems.
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Homework Statement



Physics: Only three variables and I don't know how to solve?
here is one problem: Heather and Jerry are standing on a bridge 50 m above a river. Heather throws a rock straight down with a speed of 20 m/s . Jerry, at exactly the same instant of time, throws a rock straight up with the same speed. Ignore air resistance. --- I need to find the time elapsed between the splashes.

A rock is tossed straight up with a velocity of +20 m/s. When it returns, it falls into a hole 10m deep. ----I need to find velocity and time for the rock at the moment it reaches the bottom of the hole .

For both of these I only have three variables, Velocity initial, change in X, and A. Should I assume that the V final is 0 in these?? otherwise I am confused. Thanks!

Homework Equations



all 5 standard kinematics


The Attempt at a Solution



The questions is conceptual...currently i cannot attempt an answer as far as I know.
 
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You have 3 variables, not including one variable that you want to find (work out what this one is first!) Then go through your 5 equations and use the one that includes all 4. You might have to do some rearranging!
 
The first of your questions is easier than it looks, if you see the trick...
 
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