# Problem 1: Dynamic Analysis of a Free-falling Rigid Body

## Objective

A ball is tossed with a velocity of 10 m/s directed vertically upward from a window
located 20 m above the ground. The acceleration of the ball is constant and equal to
9.81 m/s^{2} downward. The objective is to determine the highest elevation
reached by the ball and the corresponding time.

## Entities Validated

- Rigid body
- Acceleration due to gravity

## Type of Analysis

- Dynamic

## Reference

Vector Mechanics for Engineers: Statics | Dynamics, Twelfth Edition by Beer, Johnston, Mazurek, Cornwell, Self : 624,625

## Model Files

- ball_position.mdl - MotionView Model
- ball_position.xml - MotionSolve Deck

## Graphical Results

## Result Comparison

Output | Analytical | MotionSolve | % Error |
---|---|---|---|

Highest elevation (m/s) | 25.1 | 25.1 | 0% |

Time at Highest elevation (s) | 1.02 | 1.02 | 0% |

## Conclusion

MotionSolve results compare well with the analytical results.