Hey guys, I'm going through my textbook and have no idea how to do this question:
A stone is thrown down the slope as shown. Determine the magnitude and direction (theta) of its initial velocity so that the stone will rise 12m and still have a range of 50m down the slope.
------12m up here
_____ <- stone thrown from left hand side
\......|
.\.....|
..\....|
...\...|
....\..|
.....\.|
......\|
Hypotenuse 50m, top 40m, right hand side 30m. Sorry for the poor diagram.
This means it has to travel 40m in the x direction, and 54m in the y direction (12m up, 12m down, then another 30m down).
The answers are 17.74m/s at 96.7 degrees.
If I'm given one of those answers the question is easy, but finding both unknowns is a bit of a challenge.
A stone is thrown down the slope as shown. Determine the magnitude and direction (theta) of its initial velocity so that the stone will rise 12m and still have a range of 50m down the slope.
------12m up here
_____ <- stone thrown from left hand side
\......|
.\.....|
..\....|
...\...|
....\..|
.....\.|
......\|
Hypotenuse 50m, top 40m, right hand side 30m. Sorry for the poor diagram.
This means it has to travel 40m in the x direction, and 54m in the y direction (12m up, 12m down, then another 30m down).
The answers are 17.74m/s at 96.7 degrees.
If I'm given one of those answers the question is easy, but finding both unknowns is a bit of a challenge.