Nuzhat at 13:37, 17 August 2010

2010-08-17T13:37:03Z

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''Helena Dedic''
 
A ball rolls of a 1 m-high table and lands 1.6 m along the floor. Find its initial speed and the time of flight. 

'''Solution:''' 

[[image: Proj Motion Sol 10.png|TOP]] 

The ball rolls along the table with horizontal velocity. When the ball leaves the table, the initial velocity is horizontal so that<math> v_{xo}= v_o</math> and <math>v_{yo} = 0</math>. We know that <math>\Delta x</math> = 1.6 m and <math>\Delta y</math> = -1.0 m. We can write: 
 
{| border="1"



|-

|Eq. 1
| <math>\Delta x = v_{xo}t</math>
| <math>1.6 m = v_{xo}t</math>
|(a)
|-

|Eq. 2
| <math>\Delta y = 0 - 4.9 t^2</math>
| <math>-1.0 = 0 - 4.9 t^2</math>
|(b)
|}

 

Solve equations (a) and (b) for initial velocity, <math>v_{xo} = v_o</math>, and time of flight, t. 

*[[Projectile Motion|Back to Projectile Motion]] 
*[[Exercises on Projectile Motion|Back to Exercises on Projectile Motion]]

Proj Motion EX 10 - Revision history

Nuzhat at 13:37, 17 August 2010