Travelling on the Downtown Line

Acceleration

Displacement

SI units : m

Definition: Displacement is the vector quantity and it is defined as the distance measured from a reference point to the final position of a point.

SI units : m/s^2

Definition: Acceleration is the rate of change in velocity with respect to time.

Formula for Acceleration = v = x/t

v0 = initial velocity

v = final velocity

t = time

A = acceleration

Velocity

SI units: m/s

Formula for Velocity = v = ds/dt

Definition: Velocity is a vector quantity and it is defined as the rate of change of displacement.

s = displacement

t = time

v = velocity

Formula for Displacement = v = ds/dt

s = displacement

t = time

v = velocity

For constant velocity, Total displacement = Velocity x Time taken = Area under the graph

Finding max/min value: The gradient on a displacement-time graph is velocity. The gradient on a velocity-time graph is acceleration.

Uniform motion: A motion is called uniform motion when the acceleration is constant. image

Displacement-time graph is a plot of the displacement against time.

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