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lames
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where can I find them?
all forms to find out any missing quantity?
all forms to find out any missing quantity?
2D motion and projectile refers to the movement of an object in two dimensions (horizontal and vertical) and the path that a projectile follows under the influence of gravity.
The basic equations for 2D motion include the equations for displacement, velocity, and acceleration in both the horizontal and vertical directions. These equations are:
- Horizontal displacement: x = x0 + v0xt + 1/2at2
- Vertical displacement: y = y0 + v0yt + 1/2gt2
- Horizontal velocity: vx = v0x + at
- Vertical velocity: vy = v0y + gt
- Horizontal acceleration: ax = 0 (assuming no air resistance)
- Vertical acceleration: ay = -g (due to gravity)
The equation for projectile motion is y = y0 + v0yt + 1/2gt2, where y is the vertical displacement, y0 is the initial height, v0y is the initial vertical velocity, g is the acceleration due to gravity, and t is time.
To find the maximum height of a projectile, you can use the equation y = y0 + v0yt + 1/2gt2 and set the vertical velocity to zero (since the projectile reaches its maximum height when it stops moving vertically). This will give you the maximum height as y = y0 + v0y2/2g.
To calculate the range of a projectile, you can use the equation x = x0 + v0xt + 1/2at2 and set the vertical displacement to zero (since the projectile starts and ends at the same height). This will give you the range as x = v0xt.