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

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SUMMARY

The discussion centers on calculating time in horizontal projectile motion without an angle, specifically when only the height of the tower is provided. The user initially attempted to apply the equation X = Vixt + 1/2axt² but recognized that the initial velocities in the x and y directions differ. Ultimately, the solution involves acknowledging that the initial velocity in the y direction is zero, allowing for time calculation using the same equation, focusing on freefall dynamics.

PREREQUISITES
  • Understanding of horizontal projectile motion principles
  • Familiarity with kinematic equations, specifically X = Vixt + 1/2axt²
  • Knowledge of freefall acceleration due to gravity
  • Basic concepts of initial velocity components in two-dimensional motion
NEXT STEPS
  • Study the effects of gravity on freefall motion
  • Learn how to decompose velocity into x and y components
  • Explore additional kinematic equations for projectile motion
  • Investigate real-world applications of horizontal projectile motion in physics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and freefall dynamics.

J.live
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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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