Question

Acceleration-time graph is shown below for a
particle in rectilinear motion. Average Acceleration ?​

Answer 1

Answer:30 ms^-2

Explanation:

Avg. Acceleration = change in velocity/total time

Or average acceleration(a -avg.)=area under a-t graph (A)/time taken

Here (A) =1/2×(10+20)×40 (area of trapezium)= 600

Thus a-avg.=600/time taken =600/20=30ms^-2

Answer 2

Answer:

The average acceleration is 30 m/s².

Explanation:

Given the figure,

We need to calculate the average acceleration

Using formula of average acceleration

$average\ acceleration=\dfrac{Change\ in\ velocity}{total\ time}$

According to figure,

$Average\ acceleration = \dfrac{area\ under\ a\ graph}{Times}$

We need to calculate the area under the curve

$area\ of\ triangle ABF=\dfrac{1}{2}\times10\times40$

$area\ of\ triangle ABF=200m^2$

$area\of\ rectangular BCEF =10\times40$

$area\of\ rectangular BCEF =400\ m^2$

$area\ of\ triangle CDE=\dfrac{1}{2}\times10\times40$

$area\ of\ triangle CDE=200\ m^2$

Put the value in to the formula of average acceleration

$a_{avg}=\dfrac{200+400+200}{20}$

$a_{avg}=30\ m/s^2$

Hence, The average acceleration is 30 m/s².