Answer:
Acceleration
is the rate at which speed changes in a given direction. Acceleration
is a vector quantity which is defined as the rate at which
an object changes its velocity.
i.e
When speed is measured in metres per second and time in seconds,
acceleration is in (metres per second) per second, usually
written as:
Metres per second^{2} or m/s^{2} or m s^{2}
For E.g., if the speed of a car traveling along a straight
road increases steadily from 7 metres per second to 13 metres
per second in 2 seconds, then the acceleration of the car
in the direction of the road is
=
= 3 m s^{2}
When a heavy object falls under gravity, its speed increases
by about 10 m s^{1} every second, so it has an acceleration
of 10 m s^{2} downwards.Acceleration, like velocity,
is a vector quantity.
Acceleration is Expressed as the first derivative of velocity
with respect to time (that is, the rate of change of velocity),
or equivalently as the second derivative of position. It is
a vector quantity with dimension L T^{2}. In SI units,
acceleration is measured in metres per second squared (m/s^{2}).
In
common speech, the term acceleration is only used for an increase
in speed (the magnitude of velocity); a decrease in speed
is called deceleration. In physics, any increase or decrease
in speed is referred to as acceleration, and also a change
in the direction of velocity is an acceleration.
