## Motion in a plane with Constant Acceleration – Class 11 | Chapter – 4 | Physics Short Notes Series PDF for NEET & JEE

Motion in a plane with Constant Acceleration: Motion in a plane with constant acceleration refers to the motion of an object that is subject to a constant acceleration in two dimensions. This type of motion is commonly studied in physics and engineering, and is used to analyze the motion of projectiles, satellites, and other objects that move in a curved path.

## Motion in a Plane with Constant Acceleration

Some key concepts to keep in mind when studying motion in a plane with constant acceleration include:

• The acceleration components can be resolved into a tangential component and a normal component, where the tangential component affects the speed of the object and the normal component affects the direction of the object.
• The maximum height of a projectile can be found by setting the y-velocity component equal to zero.
• The range of a projectile can be found by setting the y-coordinate equal to zero and solving for the time of flight.
• The time of flight of a projectile can be found by solving for the time at which the y-coordinate is equal to zero.

## Motion in a Plane with Constant Acceleration Formula

The equations of motion for an object moving in a plane with constant acceleration are:

x = x0 + v0x t + 1/2 ax t2

y = y0 + v0y t + 1/2 ay t2

vx = v0x + ax t

vy = v0y + ay t

where x and y are the position coordinates of the object at time t, x0 and y0 are the initial position coordinates, vx and vy are the velocity components of the object at time t, v0x and v0y are the initial velocity components, ax and ay are the acceleration components of the object, and t is the time elapsed since the object started moving.

These equations are similar to the equations of motion for one-dimensional motion with constant acceleration, but with the addition of the y-coordinate and the y-velocity component.

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