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In 3 2 O TTTT -2 -3 2 3 4 51 1 (s) Varg Дж st (1 1. Figure above shows a graph of displacement against time of an object moving along x-axis. Calculate: a) Average velocity for the time interval 1 s to 4 s. [-1.67 m s¯½​

In 3 2 O TTTT -2 -3 2 3 4 51 1 (s) Varg Дж st (1 1. Figure above shows a graph of-example-1

1 Answer

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Answer: -1.67 m/s

Step-by-step explanation:

average velocity = Δposition/Δtime

But this is only when the velocity doesn't change direction. First you need to determine where the velocity changes are on the given range, 1 ≤ t ≤ 4.

1 ≤ t ≤ 2 ⇒ v = 2 m/s

2 ≤ t ≤ 3 ⇒ v = -7 m/s

3 ≤ t ≤ 4 ⇒ v = 0 m/s

Now, take the average of the velocities:


((2) + (-7) + (0))/(3) = -(5)/(3) \approx -1.67 m/s

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