Class 11 Physics Motion In A Plane Quantities related to motion of an object in a plane

Quantities related to motion of an object in a plane

 

 

Quantity

Value

Value in component form

DisplacementΔr

(Change in position)

r’ - r

îΔx + ĵΔy

Average Velocityv̅

(ratio of displacement and corresponding time interval)

Δr/Δt

vxî + vy ĵ

vx= Δx/Δt, vy= Δy/Δt

Instantaneous velocityv

(limiting value of average velocity as the time interval approached zero)

dr/dt

vxî + vy ĵ

vx= dx/dt, vy= dy/dt

Magnitude of v

   

Direction of v, θ

(direction of velocity at any point on the path is tangential to the path at that point and is in the direction of motion)

tan-1(vy/vx)

 

Average Accelerationa̅

(change in velocity divided by the time interval)

Δv/Δt

ax î + ay ĵ

ax= Δvx/Δt, ay= Δvy/Δt

Instantaneous accelerationa

(limiting value of the average acceleration as the time interval approaches zero)

dv/dt

ax î + ay ĵ

ax= dvx/dt, ay= dvy/dt

ax= d2x/dt2, ay= d2y/dt2

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