Found half an answer, I with the direction please.

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A projectile is launched with horizontal and vertical velocities of 10 m/s and 20 m/s, respectively, leading to a magnitude of 22 m/s for its initial velocity. The user initially struggles to find the angle of trajectory, mistakenly calculating it as 60 degrees, while the answer sheet indicates it should be 63 degrees. They express confusion over using trigonometric methods to determine the angle. A suggestion is made to visualize the problem as a right-angled triangle and apply the Tangent function for clarity. Ultimately, the user resolves their confusion and finds the answer.
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Homework Statement



A projectile is launched with a horizontal velocity of 10 m/s and a vertical velocity of 20 m/s. What is the magnitude and direction of the projectile’s initial velocity?

The Attempt at a Solution

I've tried using the trigonometric method but I end up with only 1 side and 1 angle which isn't good. I could logically think that since one side is 20 and one side is 10, the angle would be

90 / 3 = 30

30 * 2 = 60

But the answer sheet says 63 degrees. :"(
I found the magnitude but the problem is I can't find the direction. More specifically, at what degree is it traveling at.

The magnitude is 22.

So it should be

22 m/s [Up x Horizontal]

x = an unknown angle

I'm having trouble finding the value of x.

Than you. :3

NVM GOT IT. LOL :D
 
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nesan said:

Homework Statement



A projectile is launched with a horizontal velocity of 10 m/s and a vertical velocity of 20 m/s. What is the magnitude and direction of the projectile’s initial velocity?

The Attempt at a Solution




I've tried using the trigonometric method but I end up with only 1 side and 1 angle which isn't good. I could logically think that since one side is 20 and one side is 10, the angle would be

90 / 3 = 30

30 * 2 = 60

But the answer sheet says 63 degrees. :"(



I found the magnitude but the problem is I can't find the direction. More specifically, at what degree is it traveling at.

The magnitude is 22.

So it should be

22 m/s [Up x Horizontal]

x = an unknown angle

I'm having trouble finding the value of x.

Than you. :3

NVM GOT IT. LOL :D


Have you drawn a picture?
If you did you would see a right-angled triangle, and just use the Tangent function.
 
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