The velocity of a point moving in straight line changes according to the equation v=(3+2+2t+1)m/s. Find the path
length covered by the point during 10 seconds from the start.
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Answer:
Explanation:
v = (3 + 2 + 2t + 1) m/s
⇒ v = 6 + 2t
But v = u + at.
By comparision,
u = 6m/s
a = 2 m/s²
By 2nd equation of motion
s = ut + 1/2 at²
⇒ s = 6 * 10 + 1/2 * 2 * 10²
⇒ s = 60 + 100
⇒ s = 160 m
Hence the point will cover 160 metres in 10 seconds from the start.
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