Study the speed-time graph of a car given alongside and answer the following questions:

(i) What type of motion is represented by OA ?

(ii) What type of motion is represented by AB ?

(iii) What type of motion is represented by BC ?

(iv) What is the acceleration of car from O to A ?

(v)What is the acceleration of car from A to B ?

(vi) What is the retardation of car from B to C ?

#### Solution

(i) OA represents uniform acceleration

(ii) AB represents constant speed.

(iii) BC represents uniform retardation.

(iv) Acceleration of car from O to A = slope of line OA

`a = ((40-0))/((10-0))

= 4 "m/s"^2`

(v) Acceleration of car from A to B is zero as it has uniform speed .

(vi) Retardation of car from B to C = slope of line BC

`a = ((40-0))/((50-30)) "m/s"^2`

= `2 "m/s"^2`