# How tall is the bridge?

## Homework Statement

A rock thrown horizontally from a bridge hits the water below 30 meters away in the horizontal direction. If the rock was in the air for 2 seconds, how tall is the bridge?

d=.5gt2

## The Attempt at a Solution

d=.5*9.81*4
d= 19.62m
The bridge would be 19.62m high?

cheers,
Keith

phinds
Gold Member
2021 Award
It's been about 50 years since I've actually worked out a problem like that but it sounds wrong, and here's why: the acceleration due to gravity is 9.8 meters per second per second. That means that the rock will travel 9.8 meters in the first second, but much more in the next second, so the total can't be 9.8 x 2 which is what you got.

Chestermiller
Mentor
It's been about 50 years since I've actually worked out a problem like that but it sounds wrong, and here's why: the acceleration due to gravity is 9.8 meters per second per second. That means that the rock will travel 9.8 meters in the first second, but much more in the next second, so the total can't be 9.8 x 2 which is what you got.
It looks right to me. The first second it travels ~ 5 m, and the second second, it travels ~15 m.

Chet

• keithcuda
phinds
Guess I have it wrong then that it travels 9.8m in the first second. I guess what the figure means is that at the end of the first second it is MOVING at 9.8 m/s, not that it has MOVED 9.8 m ... 50 years ago I bet I would have got it right 