Projectile Motion

1. The problem statement, all variables and given/known data
A bullet is fired horizontally from a height of 4 meters, misses its target, and travels 98.5 meters before striking the ground. Use the above equations to determine the initial muzzle velocity of the gun.


2. Relevant equations
Solve for time
Horizontal velocity


3. The attempt at a solution

Not even sure where to start

 

I know I need to start there, but I guess I am just lost as to how to solve for time. I have the equation, but I just am lost. I have examples in front of me, but I have no idea how they even got some of the numbers I only have the two I gave you

 

. A rock is thrown horizontally from a 115 meter vertical cliff.
The rock strikes the ground 92.5 meters from the base of the cliff.

Determine the speed at which the rock was thrown.

Since we know the value of y, we can begin the problem by solving for the elapsed time. By manipulating the equation algebraically, we solve for t in terms of y:

 

This was the example given to me, but I see through working through it none of the numbers were used to get 4.84, so how do I start?

 

time = square root of -2y/g right?

 

Here is what I have the vertical component of the velocity
v y = -gt

The distance traveled in the -y direction
y = -1/2 gt^2

 

So to solve for the elapsed time we solve for t in terms of y so

t = Square root -2y/g

 

So here is where I get lost

t = square root of 8 meters/9.81 m/s^2 ?

 

Are you still there, or totally frustrated with me? I am so sorry I have been working on papers for two days now and I am exhausted and I cannot get the equations to even post correctly

 

I am just not too sure how in the example given they have square root 230m/9.81m/s^2

and that equals 4.84s? How do they get that answer?

 

Can you tell me what I am missing?

 

Well thanks, but I feel like I am on the wrong track heading off the track to a painful demise!

 

So with my numbers given of the gun being fired at 4 meters and traveling 98.5 meters am I using the 4 meters?

t = Square root 2 (4)m/?

 

I have used my calculator and feel a bit retarded after an hour and still cannot get the 4.84...

 

I know you have other people to help. I am sorry I was just hoping to get more clarification. This has me totally lost and so I apologize for taking up your time and still not getting it. Thank you for trying though