How Do You Calculate Time in Horizontal Projectile Motion Without an Angle?

AI Thread Summary
To calculate time in horizontal projectile motion without an angle, one must recognize that the initial vertical velocity is zero. The problem can be approached using the equation X = Vixt + 1/2axt^2, but it requires understanding that only the horizontal component of velocity is present initially. Given that only the height of the tower is provided, the time can be determined by analyzing the vertical motion under free fall. The solution involves using the height to calculate the time it takes for the projectile to fall, as the horizontal motion does not affect the time of descent. Understanding these principles allows for the correct application of the equations of motion.
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3. The Attempt at a Solution [/b

I tried to use the

X= Vixt + 1/2axt^2 => 0= 1/2axt^2+ Vixt + X

To find the time since there isn't a horizontal distance given.

Then I realized the initial velocity for x and y direction can't be the same , but I don't have the angle.

Do i have to find the angle first?

If so, what do I use ?

Edit: I understand how to solve it now. Initial velocity in y direction is zero so I can solve for the time using the same equation above.

Here is the question
 

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It is a horizontal projection so the velocity at the beginning only has an x component. And only the height of the tower is given.
hint: freefall
 
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