I am having trouble solve a beggining question for my physics lab course. I have to dervive a formula for time given the equations in the photo attatched. In this experiment a cannon is being fired at a specified height and angle. To start, the cannon is set to a height of 10m and the angle of the launch being set at 0 degrees.

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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I am having trouble solve a beggining question for my physics lab course. I have to dervive a formula for time given the equations in the photo attatched. In this experiment a cannon is being fired at a specified height and angle. To start, the cannon is set to a height of 10m and the angle of the launch being set at 0 degrees. 

Neglecting air resistance, and assuming that up is the positive y direction, we have the
following equations,
Horizontal direction
ax = 0
V = Vox
x = xo + voxt
Vertical direction
= -9
ay
Vy = Voy - gt
y = y₁ + voyt - gt²
where vox = vo cose and voy vosine. These equations are the same as the ones you learned
in the classroom, and we will use these to analyze our projectile motion laboratory results.
Transcribed Image Text:Neglecting air resistance, and assuming that up is the positive y direction, we have the following equations, Horizontal direction ax = 0 V = Vox x = xo + voxt Vertical direction = -9 ay Vy = Voy - gt y = y₁ + voyt - gt² where vox = vo cose and voy vosine. These equations are the same as the ones you learned in the classroom, and we will use these to analyze our projectile motion laboratory results.
1. We want to investigate the projectile motion when it is launched horizontally (so that
voy = 0) with varying initial speeds vox from a fixed height above the ground.
2. Click on the crosshairs of the cannon and drag it up to a height of 10 m.
3. Set the angle to 0°.
4. Derive an expression using the space below for the time of flight t for the projectile.
Transcribed Image Text:1. We want to investigate the projectile motion when it is launched horizontally (so that voy = 0) with varying initial speeds vox from a fixed height above the ground. 2. Click on the crosshairs of the cannon and drag it up to a height of 10 m. 3. Set the angle to 0°. 4. Derive an expression using the space below for the time of flight t for the projectile.
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