00:01
So given velocity v for constant speed is 100 meters per second.
00:13
And from figure, from figure given in question, we can find theta is equal to 10 inverse, 80 divided by 80 or theta will be equals to 45 degrees.
00:29
So alpha will be equals to 45 minus 30, that is 15 degree.
00:37
And r will be equals to square root of 8t square plus 8t square so it will be 113 .13 meter better i will draw the diagram here itself for your clarity so this is y -axis this is x -axis this is y -axis and this is this is point p and now this is velocity t v and this is the horizontal component this is vertical component so let's put the values here so it is this is v this is v this is v and this angle is 30 degree this is alpa this is 30 degree and this is point p this angle is theta this is this is 8p and this is x -axis this is y -axis this is this is this is this is this is theta angle this is theta and this is r this is r so from figure from figure we can write r -dus is equals to vr is equal to minus 100 plus 15 degree so it will be r -dus is equal to minus 96 .6 meter per second so this is the value of r -dess.
02:36
This is value of r -dice.
02:45
Now v -teta, v -teta is equal to v -sign 15 degree.
02:52
So it will be equals to 100 -sign 15 degree.
02:57
So it will come out to be 25 .88 meter per second.
03:04
But but v -theta is also equals to r multiplied by theta -d -d -data -d.
03:11
So v theta is r theta dash is equal to 25 .88.
03:19
So from here, theta dash will be equal to 25 .88 divided by r.
03:27
R is 113 .13 .13...