Question 2 - Graph Question (Difficult) - Teachoo Questions - Chapter 8 Class 9 - Motion

Last updated at July 25, 2026 by

Find Displacement and Acceleration from Time 0-2 seconds, 2-10 secs, 10-12 seconds, 12-16 seconds. Also tell the type of motion in all the regions. And find the total displacement

slide6.jpg

Let’s mark the points and their coordinates

slide7.jpg

Velocity-Time Graph Question - Difficult - Motion Class 9 - Teachoo - Teachoo Questions part 2 - Question 2 - Graph Question (Difficult) - Teachoo Questions - Chapter 8 Class 9 - Motion - Class 9 part 3 - Question 2 - Graph Question (Difficult) - Teachoo Questions - Chapter 8 Class 9 - Motion - Class 9 part 4 - Question 2 - Graph Question (Difficult) - Teachoo Questions - Chapter 8 Class 9 - Motion - Class 9

Motion in region OA = Uniformly accelerated

Motion in region AB = Uniformly motion (No acceleration)

Motion in region BC = Uniformly retarded

Motion in region CD = Uniformly motion (No acceleration)

Total displacement

   = Displacement in OA + Displacement in AB

     + Displacement in BC + Displacement in CD

  = 8 + 64 + 12 + 16

  = 100 m

Remove Ads

Transcript

In 2 āˆ’ 10 seconds (Region AB) Acceleration = Slope of AB = (š‘¦_2 āˆ’ š‘¦_1)/(š‘„_2 āˆ’ š‘„_1 ) = (8 āˆ’ 8)/(2 āˆ’ 0) = 0/2 = 0 m/s2 Displacement = Area under v ā€“ t graph = Area of rectangle ABQP = Length Ɨ Breadth = AP Ɨ AB = 8 Ɨ 8 = 64 m In 10 āˆ’ 12 seconds (Region BC) Acceleration = Slope of BC = (š‘¦_2 āˆ’ š‘¦_1)/(š‘„_2 āˆ’ š‘„_1 ) = (4 āˆ’ 8)/(12 āˆ’ 10) = (āˆ’4)/2 = ā€“2 m/s2 Acceleration = Slope of BC = (š‘¦_2 āˆ’ š‘¦_1)/(š‘„_2 āˆ’ š‘„_1 ) = (4 āˆ’ 8)/(12 āˆ’ 10) = (āˆ’4)/2 = ā€“2 m/s2 In 12 āˆ’ 16 seconds (Region CD) Acceleration = Slope of OA = (š‘¦_2 āˆ’ š‘¦_1)/(š‘„_2 āˆ’ š‘„_1 ) = (4 āˆ’ 4)/(16 āˆ’12) = 0/4 = 0 m/s2 Displacement = Area of rectangle CDSR = Length Ɨ Breadth = CD Ɨ CR = 4 Ɨ 4 = 16 m

Maninder Singh's photo - Co-founder, Teachoo

Made by

Maninder Singh

CA Maninder Singh is a Chartered Accountant with 16+ years of practical experience and 20+ years of teaching experience. He teaches Science, Economics, Accounting and English at Teachoo using clear explanations and exam-focused methods students can trust.

For faster and distraction-free study, students can choose Teachoo Black.