# Height of a building with a Projectile

1. Jan 23, 2014

### guma671

1. The problem statement, all variables and given/known data

A ball is launched at an angle of 38° at 16m/s off of the top of a building, the ball finally hits the ground after 45seconds. What is the height of the building? Gravity is normal 9.80m.s squared. The answer to the problem is 9480m.

2. Relevant equations

I just needed a starting point. I wasn't sure really where to go with the problem.

3. The attempt at a solution

First i tried to find Vy by 16.0m/s * sin(38°) and got a value of 4.741m/s. I then plugged it into the equation Δy=VyiΔt+1/2gΔtsquared but the answer came out to around 10,000.

2. Jan 23, 2014

### SteamKing

Staff Emeritus
Why don't you show your complete calculations?

3. Jan 23, 2014

### guma671

what do you mean?

4. Jan 23, 2014

### guma671

oh well with the answer i got around 10,000 it was just Y=(16m/s)(45s)+1/2(-9.8)(45)squared which came out to -9202.5

5. Jan 23, 2014

### BvU

Always good to check things.
1. You know sin(30°) = 0.5 so you should expect Vy > 8 m/s !
2. If even that leads to an improbable answer, check that you read the OP correctly. Perhaps it says 4.5 seconds ?

6. Jan 23, 2014

### BvU

Posts crossed. I am a slow typer. Now you use Vo, not Vy. Not that it matters much on a 10000 m scale. But it does on a 100 m scale.

7. Jan 23, 2014

### BvU

Come again. What building is 9480 m high ?

8. Jan 23, 2014

### BvU

If the 9480 m is in the answer book, you may have to deal with a case of sloppy re-use of old exercises. They change a number but don't bother to check if it's sensible. In this case that is double painful: the 9480 is nonsense and on top of that, after 1 second, the vertical component of the velocity is 0. In the 44 seconds after that it would go -430 m/s, way over the speed of sound. If the building is on earth (9.8 m/s^2), the air restance can't be ignored anymore, even for a lead ball.