How Do You Calculate Initial Vertical Velocity?

[jubbly]

Homework Statement

Distance - 5m
height 1m

Homework Equations

vf^2=Vo^2+2ay

The Attempt at a Solution

I know vf^2 = 0, and I'm trying to find vo^2, and I also know y is the height so that would be 1m, is a 9.8?

If It is I would get this 0=vo^2+19.6. and to find vo^2 I would take the square root of 19.6 and get 4.43.

So my Vo = 4.43,
what equation would I plug to find the vertical velocity?

 

[JaredJames]

The question would be nice, not just two values.

What's this distance? Are we talking a ballistic trajectory question?

Jared

 

[jubbly]

The question would be nice, not just two values.

What's this distance? Are we talking a ballistic trajectory question?

Jared

Oh, sorry!
Find the vertical velocity of a projectile launched from a catapult. The projectile landed 5 meters from the catapult and went up in the air 1 meter.

 

[JaredJames]

Ok, which vertical velocity?

I'd assume it's the final velocity on impact.

As such, using vf² = Vo² + 2ay

You know Vo = 0 (it's at the peak of the launch and so it has stopped moving vertically), a = 9.81 and y = 1.

This will give you the final velocity vertically at impact. Can you take it from there?

Jared

 

[jubbly]

So Vo=4.43, and would I need to find the time?
At this part I'm confused as to what to do to find the vertical velocity.
Is there a formula I would have to use to find it?

 

[JaredJames]

I gave you Vo in my previous post. That is the initial velocity - at the peak height (before the fall begins) Vo = 0m/s.

Vf is the final velocity. You literally plug the values into the equation to get the answer.

Why would you need the time or is this part of the question?

Jared

 

[JaredJames]

Ah I see, you want the initial velocity on launch.

In which case the vertical velocity is 4.43m/s.

Just replace Vo = 0 with Vf = 0.

Jared