A dancer demonstrating dance steps along a straight line. The position-time graph is given below.
Find the average velocity of the dancer during the time interval between t = 4.5 s to t = 9 s
−1.33ms−1
2.75ms−1
1ms−1
−0.89ms−1
A
1ms−1
B
−1.33ms−1
C
2.75ms−1
D
−0.89ms−1
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Solution
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Displacement = final position - initial position
From graph final position is zero at 9s.
From graph initial position is 4m at 4.5s.
Here, displacement =−4m Time taken,
t=9−4.5
⇒t=4.5s
Average velocity(Vavg)
Vavg=displacementtime ⇒Vavg=−44.5
⇒Vavg=−0.89ms−1
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