How to Solve Vertical Acceleration Problems

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To solve the vertical acceleration problem of a rock thrown from a bridge, the correct equation to use is d = vt + 1/2at^2. The initial velocity is 20 m/s, and the rock is thrown from a height of 42 m. It is important to label known and unknown variables, including initial and final positions, velocities, and acceleration. Algebra can be used to isolate time (t) and apply it in subsequent equations for a comprehensive solution. Properly organizing the information and using the correct formulas will facilitate solving the problem effectively.
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Problem:
a rock is thrown vertically with a velocity of 20m/s from the edge of a bridge 42m above the river. how long does the rock stay in the air.

Equation:
d=vt+1/2at^2

Atempt at solution:
I've actually had a couple of attempts and i came up with a bunch of crazy things. I just need a hint, or to know if I am using the correct formula.
 
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Iceclover, please post in the homework forums in future.

Your equation for this question is correct. Please show your work, and we will be able to help.
 
A few good helpful hints is to do this first; label what you have and what you don't have and what you're trying to find. Then look at the equations you have; use algebra to isolate a variable and these types of problems will come a lot more easily.

Using Y's since this is acting in the Y direction, not the X direction. Also, since it's acting in the Y direction there's a force at work here =). Think about it.

Y (final position):
Yo (initial position):
Vy (final velocity):
Vyo (initial velocity):
a (acceleration):
t (time):

Hint: Your starting position will usually be 0 m. Unless told otherwise through the problem. Also, you can use a string of equations to solve for things =). Such as isolate the t, and then use that t for another equation =).
 
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