Nuzhat: Created page with '''Helena Dedic''
A ball is thrown from ground level. Three seconds later it is moving horizontally at 15 m/s. Find the horizontal range and the angle of impact.

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2010-08-17T14:08:44Z

Created page with '''Helena Dedic'' A ball is thrown from ground level. Three seconds later it is moving horizontally at 15 m/s. Find the horizontal range and the angle of impact. …'

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''Helena Dedic''
 

A ball is thrown from ground level. Three seconds later it is moving horizontally at 15 m/s. Find the horizontal range and the angle of impact. 

'''Solution:''' 

At t = 2 s, the velocity of a projectile is v = (15 m/s, 0 m/s). What is the range of the flight and the angle of impact?
 

[[image: Proj Motion Sol 12.png|TOP]] 

Since <math>v_y = 0</math>, the projectile must be at the top of its motion at t = 2 s. The total time of the motion is then 4 s and the range is given by equation 1: 

<math>\Delta x = v_{xo}t</math> 

<math> \Delta x = 15 m/s * 4 s = 60 m</math> 

Find the velocity in the y-direction at impact taking the initial velocity as zero at the top and finding the velocity 2 s later: 

<math>v_y = v_{yo} - 9.8 m/s^2 t</math> 

<math>v_y = 0 - 9.8 m/s^2 2 s</math> 

<math>v_y = - 19.6 m/s</math> 

The velocity at impact is v = (15 m/s, -19.6 m/s) so that the angle of impact is <math>52.6^o</math> below the horizontal or <math>-52.6^o</math>. 
 

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

Proj Motion EX 12 - Revision history

Nuzhat: Created page with '''Helena Dedic'' A ball is thrown from ground level. Three seconds later it is moving horizontally at 15 m/s. Find the horizontal range and the angle of impact. …'

Nuzhat: Created page with '''Helena Dedic''
A ball is thrown from ground level. Three seconds later it is moving horizontally at 15 m/s. Find the horizontal range and the angle of impact.

…'