Multiple choice

Time interval (in sec) Speed of particle (in m/s) 0-2 2 2-5 3 5-10 4 10-15 2 A table is given below of a particle moving along x-axis. In the table speed of particle at different time intervals is shown. Find total distance travelled by the particle and its average speed.

  1. 43 m, 2.87 m/s

  2. 40 m, 2.66 m/s

  3. 43 m, 2.66 m/s

  4. 40 m, 2.87 m/s
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A Correct answer
Explanation

Distance = speed * time. Distances: (2*2) + (3*3) + (4*5) + (2*5) = 4 + 9 + 20 + 10 = 43m. Total time = 2+3+5+5 = 15s. Average speed = 43/15 = 2.866... m/s.

AI explanation

Using the formula distance equals speed multiplied by time, we find the individual distances for each time interval by multiplying the speed by the interval duration: (2 m/s times 2 s) plus (3 m/s times 3 s) plus (4 m/s times 5 s) plus (2 m/s times 5 s). This gives a total distance of 4 plus 9 plus 20 plus 10, which equals 43 m. The total time elapsed is the sum of the intervals, which is 15 s. Dividing the total distance by the total time gives an average speed of 43 divided by 15, resulting in 2.87 m/s. The result is 43 m and 2.87 m/s.

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