Give the definition, equation and units of acceleration, explain unifrom and non_unifrom acceleration with example?
Answers
Answer:
Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time.
What is Instantaneous Acceleration?
Instantaneous acceleration is defined as
The ratio of change in velocity during a given time interval such that the time interval goes to zero.
What is Acceleration Formula?
Acceleration formula is given as:
acceleration=(finalvelocity)−(initialvelocity)time acceleration=changeinvelocitytime a=vf−vit
a=Δvt
Where,
a is the acceleration in m.s-2
vf is the final velocity in m.s-1
vi is the initial velocity in m.s-1
t is the time interval in s
Δv is the small change in the velocity in m.s-1
What is the Unit of Acceleration?
The SI unit of acceleration is given as:
SI unit m/s2
Uniform and Non-uniform acceleration
So can we have a situation when speed remains constant but the body is accelerated? Actually, it is possible in circular where speed remains constant but since the direction is changing hence the velocity changes, and the body is said to be accelerated.
Average acceleration
The average acceleration over a period of time is defined as the total change in velocity in the given interval divided by the total time taken for the change. For a given interval of time, it is denoted as ā.
Mathematically,
acceleration
Where v2 and v1 are the instantaneous velocities at time t2 and t1 and ā is the average acceleration
Explanation:
acceletion : it could be define as change in velocity in per unit of time
equation: v-u / t
where v is final velocity and u is initial velocity
unit : 1 SI m/s²
non uniform : . It refers to variation in the rate of change in velocity
eg car on road
uniform acceleration :. if an object velocity increases constantly in per unit time ie velocity is constant
eg motion of lift