Question

A car is moving on a straight road with uniform acceleration. The following table gives the speed of car at various instant of time.

(Time s) 0. 10. 20. 30. 40. 50

(speed m/s ) 5. 10. 15. 20. 25. 30


Draw a speed time graph choosing a convonient scale. Determine from it.

1) Acceleration of car
2) Distance travel by car in 50 second​

Answer 1

Answer:Graph of the table : Draw X - axis and Y - axis on the  graph with appropriate scale. 

Let 1 cm = 10 s on X-axis. 

Let 1 cm = 5 m on Y-axis. 



(i) Acceleration means slope of graph AB 

BC / AC = 30 - 5 / 50 - 0 = 25 / 30 = 0.5 m / s2

(ii) Distance travelled by car = Area of trapezium OABD 

= 1 /2 (AO + BD) × OD

= 1 / 2 (5 + 30) × 50 = 875 m