Vector quantities are physical quantities that have both magnitude and direction.
Scalar quantities are physical quantities that have magnitude only.
All physical quantities consist of a numerical magnitude and a unit.
SI unit for mass is kilogram (kg).
SI unit for length is metre (m).
SI unit for time is second (s).
SI unit for temperature is kelvin (K).
SI unit for current is ampere (A).
SI unit for pressure is pascal (Pa).
SI unit for energy is joule (J).
SI unit for power is watt (W).
nano (n) - 10^-9
micro (μ) - 10^-6
milli (m) - 10^-3
centi (c) - 10^-2
deci (d) - 10^-1
kilo (k) - 10^3
mega (M) - 10^6
giga (G) - 10^9
tera (T) - 10^12
Measuring tape: measuring range is 0 to several m. Accuracy is ± 0.1cm/1mm
Metre rule: measuring range is 0 to 1m. Accuracy is ± 0.1cm/1mm
Digital calipers: measuring range is 0 to 15cm. Accuracy is ± 0.001cm/0.01mm
Digital micrometer screw gauge: measuring range is 0 to 2.5cm. Accuracy is ± 0.0001cm/0.001mm.
Size of typical atom – 1 x 10^-10 m
Size of the earth – 1.3 x 10^7 m
Period of a pendulum is the time taken to make one complete oscillation.
Speed is the rate of change of distance. (v=d/t, unit: m/s)
Velocity is the rate of change of displacement. (v=s/t, unit: m/s)
Acceleration is the rate of change of velocity. (a= (v-u)/t, unit: m/s^2)
Displacement-time graphs: the gradient of the displacement-time graph gives the velocity of the object.
Velocity -time graphs: the gradient of the velocity-time graph gives the acceleration of the object.
Area under the velocity-time graph (or area bounded by the graph and the time axis) gives the distance travelled.
Graphical analysis of velocity
A)
The acceleration of free fall for a body near to the Earth is constant and is approximately 10 m/s^2
A body with constant weight falls with acceleration = 10 m/s
When there is air resistance the body will fall, decreasing acceleration until the weight equals air resistance.
During this time a = 0 m/s^2 and the body falls with constant speed. This is the maximum speed attained by the body. This speed is called the terminal velocity of the body.