Presentation is loading. Please wait.

Presentation is loading. Please wait.

Deriving the Range Equation Or, how to get there from here.

Similar presentations


Presentation on theme: "Deriving the Range Equation Or, how to get there from here."— Presentation transcript:

1

2 Deriving the Range Equation Or, how to get there from here

3 Keep in mind... Horizontal velocity REMAINS CONSTANT – No net force is acting horizontally so there is no horizontal acceleration Vertical velocity CHANGES – Acceleration due to gravity, ~9.81 m/s 2 – Caused by the unbalanced force of gravity acting on the object

4 y max x x R = 2x

5 y max x x R = 2x  vivi

6  vivi v iy = v i sin  v x = v i cos 

7 y max x x R = 2x  vivi v iy = v i sin  v x =v i cos 

8 y max x x R = 2x  vivi

9 y max x x R = 2x  vivi At the top of the path, v fy = 0

10 y max x x R = 2x  vivi Substituting in

11 y max x x R = 2x  vivi Substituting in

12  vivi v iy = v i sin  v x = v i cos  Remember that the initial velocity in the y-direction = v i sin 

13 y max x x R = 2x  vivi

14 The whole point here is to solve for x...

15 Remember that the range, R, = 2x


Download ppt "Deriving the Range Equation Or, how to get there from here."

Similar presentations


Ads by Google