question_answer 27)

The speed-time graph of a particle moving along a fixed direction is shown in Fig. 3.96. Obtain the distance travelled by the particle between (i) t = 0 to 10 s (ii) t = 2 to 6 s. What is the average speed of the particle in intervals in (i) and (ii) ?     Fig. 3.96  

Answer:

(i) Distance travelled by the particle between t = 0 to 10 s is given by s = Area of    Average speed         . (ii) Acceleration of the particle during journey OA is given by                  or   or            Similarly, acceleration of the particle during journey AB is given by                  or   or              Velocity of the particle after 2 s from start will be    Distance covered by the particle between t = 2 to 5 s in 3 s) is given by   . Distance covered by the particle in  to 6 s (in 1 s) is given by   Total distance travelled in t = 2 to 6 s,   Average speed in the interval t = 2 to 6 s .