Motion in a Plane
NIOS · Class 12 · Physics
Summary of Motion in a Plane for NIOS Class 12 Physics. Key concepts, important points, and chapter overview.
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Motion in a Plane deals with the study of objects moving in two dimensions — that is, along both horizontal and vertical directions simultaneously. In real life, most objects do not move in straight lines. A cricket ball hit by a batsman, a javelin thrown by an athlete, a satellite orbiting the Eart
Key Concepts
Projectile motion is a type
Projectile motion is a type of two-dimensional motion where an object is launched at an angle θ₀ to the horizontal with an initial velocity v₀. After
At the highest point of its
At the highest point of its trajectory, the vertical component of velocity becomes zero (vᵧ = 0). Using vᵧ = v₀ sinθ₀ − gt, the time to reach maximum
The time of flight T
The time of flight T is the total time the projectile remains in the air, from launch to landing (assuming it returns to the same height from which it
The range R is the total
The range R is the total horizontal distance covered by the projectile during its flight. It is calculated as: R = Horizontal velocity × Time of fligh
The trajectory is the actual path
The trajectory is the actual path followed by the projectile. To find its equation, we eliminate the time variable t from the position equations. From
Learning Objectives
- Explain projectile motion and circular motion with real-life examples
- Derive expressions for maximum height, time of flight, and range of a projectile
- Derive the equation of trajectory of a projectile and identify it as a parabola
- Understand and derive expressions for centripetal acceleration and centripetal force
- Explain motion of a body in a vertical circle and find minimum velocities at highest and lowest points
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