Maharashtra State Board · Class 10 · Physics · Chapter 1

Motion — Uniform and Uniformly Accelerated — Formula Sheet

Board Formulas

8 formulas

1.Average Speed
$Average speed = \frac{Total distance}{Total time}$
Scalar quantity. Direction not considered.
2.Average Velocity
$v_{a v g} = \frac{Displacement}{Time}$
Vector quantity. For uniform acceleration, average velocity = (u + v)/2.
3.Acceleration★
$a = \frac{v - u}{t}$
Rate of change of velocity. Unit: m/s². Deceleration (retardation) is negative acceleration.
4.First Equation of Motion★
$v = u + a t$
Velocity after time t, starting from initial velocity u with constant acceleration a.
5.Second Equation of Motion★
$s = u t + \frac{1}{2} a t^{2}$
Displacement in time t under constant acceleration.
6.Third Equation of Motion
$v^{2} = u^{2} + 2 a s$
Useful when time t is not given. Solve for v or s.
7.Displacement in nth second
$s_{n} = u + \frac{a}{2} (2 n - 1)$
Distance travelled in the nth second (not first n seconds).
8.Uniform Circular Motion — Speed
$v = \frac{2 π r}{T}$
Speed constant, direction changes ⇒ velocity changes ⇒ acceleration exists (centripetal).