- Acceleration is the rate of change of velocity with time.
- For describing average acceleration we first consider the motion of an object along X-axis.
- Suppose at time t1 object is at point P moving with velocity v1 and at time t2 it is at point Q and has velocity v2. Now average acceleration of object in moving from P to Q is
which is the change in velocity of object with the passage of time.
- Instantaneous acceleration can be defined in the same way as instantaneous velocity
- The instantaneous acceleration at any instant is the slope of v-t graph at that instant.
- In figure 7 instantaneous acceleration at point P is equal to the slope of tangent at this point P.
- Since velocity of a moving object has both magnitude and direction likewise acceleration depending on velocity has both magnitude and direction and hence acceleration is a vector quantity.
- Acceleration can also be positive, negative and zero.
- SI unit of acceleration is ms-2
Acceleration Concept Map
Watch this tutorial for more information on velocity And Acceleration
A car moves in a straight road. The velocity at point A is 50 km/hr, It presses the accelerator paddle and reach point B in 10 sec. The velocity ar point B is 100Km/hr
Find the average acceleration of the car from point A to point B?
Initial Velocity =50km/hr= 13.88 m/s
Final Velocity = 100Km/hr= 27.77 m/s
Average Acceleration= Change in velocity/time taken= (27.77-18.88)/10=1.389 m/s/2
True and False Statement
a) Acceleration is a scalar quantity?
b) if the velocity of the object is zero,then acceleration will always be zero?
c) Instantaneous speed is always equal to magnitude of instantaous velocity
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