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The speed of a car travelling on a straight road is listed below at successive intervals of 1 s: Time (s) 0 12 3 4 Speed (m/s) 0 2 4 6 8 Which of the following is/are correct ? The car travels 1. with a uniform acceleration of 2 m/s^ 2. 16 m in 4 s. 3. with an average speed of 4 m/s. Select the correct answer using the code given below:
Explanation
The car's speed increases by 2 m/s every second (0 to 2, 2 to 4, etc.), indicating a constant rate of change. Acceleration is defined as the change in velocity per unit time; thus, the acceleration is (2-0)/1 = 2 m/s". Statement 1 is correct. For uniform acceleration, the distance traveled (s) is calculated using s = ut + (1/2)at". With initial speed u=0, a=2, and t=4, s = 0 + (1/2)(2)(4)" = 16 m [1]. Statement 2 is correct. Average speed is the total distance divided by total time, which is 16 m / 4 s = 4 m/s [1]. Alternatively, for constant acceleration, average speed is (u+v)/2 = (0+8)/2 = 4 m/s. Thus, all three statements are correct.
Sources
- [1] Science-Class VII . NCERT(Revised ed 2025) > Chapter 8: Measurement of Time and Motion > Speed = Total distance covered Total time taken > p. 113
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