Equations of motion · गति के समीकरण

Find velocity, acceleration, time and distance with three equations — and know which one to use.

Equations of motion games

The three equations of motion गति के समीकरण

For a body moving in a straight line with uniform acceleration a: u = initial velocity, v = final velocity, t = time, s = distance (displacement).

Equation	Use it when…	Example
v = u + at	no distance is given or asked	u = 5, a = 2, t = 4 → v = 13 m/s
s = ut + ½at²	no final velocity is given or asked	from rest, a = 2, t = 5 → s = 25 m
v² = u² + 2as	no time is given or asked	u = 0, v = 10, a = 2 → s = 25 m

Tips: "starts from rest" means u = 0; "comes to rest / stops" means v = 0; braking means a is negative (retardation). Write down u, v, a, s, t first, see which one is missing, and pick the equation without it.

Graphs: slope of a velocity–time graph = acceleration; area under it = displacement. Slope of a distance–time graph = speed. Also see speed, distance and time, types of motion and Newton's laws.

Goes with NCERT Science Class 9, Chapter Motion. Practice numbers are worked out exactly.

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A one-page chart to stick on the wall, and a worksheet to practise.

Equations of motion

The three equations of motion गति के समीकरण

For a body moving in a straight line with uniform acceleration a: u = initial velocity, v = final velocity, t = time, s = distance (displacement).

Equation	Use it when…	Example
v = u + at	no distance is given or asked	u = 5, a = 2, t = 4 → v = 13 m/s
s = ut + ½at²	no final velocity is given or asked	from rest, a = 2, t = 5 → s = 25 m
v² = u² + 2as	no time is given or asked	u = 0, v = 10, a = 2 → s = 25 m

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Equations of motion — worksheet

Name: ____________________ Class: ______ Date: __________

1. A bus starts from rest and reaches 20 m/s in 10 s. Acceleration = ________

2. A train at 10 m/s accelerates at 2 m/s² for 5 s. Final velocity = ________

3. A car starts from rest with a = 4 m/s². Distance in 5 s = ________

4. A scooter at 20 m/s brakes at 5 m/s². Stopping distance = ________

5. Which equation has no t in it? ________

6. Draw a velocity–time graph for a body starting from rest with uniform acceleration:

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