A car is moving on a straight road with uniform acceleration. The speed of the car varies with time as follows: Time ( s ) 0 2 4 6 8 10 Speed m s - 1 4 8 12 16 20 24 Draw the speed-time graph by choosing a convenient scale. Determine from it: acceleration of the car

The speed-time graph of given data is: Where, X - axis represents time in seconds ( 1 block = 2 seconds) Where, Y - axis represents speed in m / s ( 1 block = 2 m / s ) Acceleration of the car = slope of the speed-time graph Or, a = v - u t 2 - t 1 , where u is the initial velocity at time t 1 , and v is the final velocity at time t 2 . a = 12 - 8 4 - 2 = 4 2 = 2 m s - 2

A car is moving on a straight road with uniform acceleration. The speed of the car varies with time as follows: Time ( s ) 0 2 4 6 8 10 Speed ms - 1 4 8 12 16 20 24 Draw the speed-time graph by choosing a convenient scale. Determine from it: The distance traveled by the car in 10 seconds.

The speed-time graph of given data is: Where, X axis represents time in seconds ( 1 block = 2 seconds ) Where, Y axis represents speed in ms - 1 ( 1 block = 2 ms - 1 ) From the graph, Initial velocity, u = 4 ms - 1 Final velocity, v = 24 ms - 1 Time, t = 10 s Acceleration is given as: a = v - u t = 24 - 4 10 = 20 10 = 2 m / s 2 Using equation of motion, v 2 = u 2 + 2 as s = v 2 - u 2 2 a = 24 2 - 4 2 2 × 2 = 576 - 16 4 = 560 4 = 140 m