# BASIC gravity problem

I feel like an idiot asking this, it's review of a previous course as we start a new quarter, and I KNOW I used to be able to do this.... but I don't remember how too. Time to review...

## Homework Statement

A tomato is dropped from 100 feet above the ground. At what speed does it hit the ground?
How long does it take to fall the last 100 feet?

## Homework Equations

Acceleration due to gravity is 32 ft/sec^2

## The Attempt at a Solution

If I recall correctly, delta X = 1/2 at^2
100 = 1/2 32 T^2
200 = 32 T^2
6.25 = T^2
T = 2.5
Tomato hits ground after 2.5 seconds.
So now, plugging that in:
32 (2.5)^2 = 200... which is definitely not right.

## Answers and Replies

LowlyPion
Homework Helper
I feel like an idiot asking this, it's review of a previous course as we start a new quarter, and I KNOW I used to be able to do this.... but I don't remember how too. Time to review...

## Homework Statement

A tomato is dropped from 100 feet above the ground. At what speed does it hit the ground?
How long does it take to fall the last 100 feet?

## Homework Equations

Acceleration due to gravity is 32 ft/sec^2

## The Attempt at a Solution

If I recall correctly, delta X = 1/2 at^2
100 = 1/2 32 T^2
200 = 32 T^2
6.25 = T^2
T = 2.5
Tomato hits ground after 2.5 seconds.
So now, plugging that in:
32 (2.5)^2 = 200... which is definitely not right.

Doing it your way, the last step would be V = a*t not t2

Otherwise you could take the Potential energy to kinetic energy relationship:

m*g*h = 1/2*m*V2

or

V2 = 2*g*h