From the given velocity time graph, calculate : (i) acceleration in the region AB (ii) deacceleration in region BC  (iii) distance covered in the region ABCD  (iv) average velocity in the region CED ?

Asked by nisha_vini29 | 9th Jul, 2017, 11:23: PM

Expert Answer:

The following steps need to be taken for finding each quantity:
 
Step 1) Acceleration in region AB will be the slope of the line AB. Take the end points in order to find the slope.
 
Step 2) For region BC, the acceleration will again be found by the slope of line BC. It will be negative and you will get the deceleration.
 
Step 3) The distance covered in the region ABCD is the area under the curve. So, find the area of the triangles ABF and CED and also the area of trapezium BFEC. Add all the three to get the distance.
 
Step 4) Average velocity is given as the ratio of the distance travelled to the time taken. So, divide the area under the curve obtained for CED in step 3 by the time from E to D to get the average velocity.

Answered by Romal Bhansali | 10th Jul, 2017, 10:30: AM