Q6 of 89 Page 51

The speed of a car as a function of time is shown in figure (3-E1). Find the distance travelled by the car in 8 seconds and its acceleration.


We know, slope of the v-t graph gives acceleration



I.e. Slope


Area of v-t graph gives distance travelled,


I.e. Distance=Area of △=


More from this chapter

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4

When a person leaves his home for sightseeing by his car, the meter reads 12352 km. When he returns home after two hours the reading is 12416 km. (a) What is the average speed of the car during this period? (b) What is the average velocity?

 5

An athlete takes 20 s to reach his maximum speed of 180 km/h. What is the magnitude of his average acceleration?

 7

The acceleration of a cart started at t = 0, varies with time as shown in figure (3-E2). Find the distance travelled in

30 seconds and draw the position-time graph.


 8

Figure (3-E3) shows the graph of velocity versus time for a particle going along the X-axis. Find (a) the


acceleration, (b) the distance travelled in
0 to 10 s and (c) the displacement in O to 10 s.