00:01
Hello, here a stone is projected from the building which is 45 meters high.
00:04
It's projected at an angle of 30 degrees above the horizontal, at a speed of 30 meters per second, and we have to calculate how long it will take to reach the ground.
00:14
So, here, this time equals to time needed to go upwards, plus time needed to go down from the maximum height.
00:21
Let's make the sketch.
00:22
Here, i will label the initial height at h0, and now let's show the trajectory.
00:28
So as you can notice, this stone travels parabolic trajectory.
00:35
And first of all, we can calculate time needed to go upwards.
00:40
Time needed to go upwards equals to vertical component of the speed, v0, sine alpha, divided by g.
00:51
Let's now calculate that it is 30 meters per second times sine of 30 divided by 9 .8 meters per second.
00:58
Squared and that equals to 1 .53 seconds...