Maths for P2

Page 1

speed in metres per second (m/s) = \(\frac{distance travelled in metres (m)}{time taken in seconds (s)}\)

acceleration = \(\frac{change in velocity}{time taken}\)

a = \(\frac{v-u}{t}\)

Where:

a = acceleration in metres per second squared (\(m/s^2\))

v = the final velocity in metres per second (m/s)

u = the intial velocity in metres per second (m/s)

t = the time takes for the change in velocity in seconds (s)

gravitational potential energy = mass x gravitational field strength x height

\[E_p=mgh\]

Where:

\(E_p\) = gravitational potential energy in joules (J)

m = mass in kilograms (kg)

g = gravitational field strength in newtons per kilogam (N/kg)

h = height in metres (m)

kinetic energy = \(\frac{1}{2}\) x mass x \(speed^2\)

\[E_k=\frac{1}{2}mv^2\]

Where:

\(E_k\) = kinetic energy in joules (J)

m = mass in kilograms (kg)

v = speed in metres per second (m/s)

P2 1 Motion

P2 3 Gravitational potential energy

P2 3 Kinetic energy