A point initially at rest moves along x-axis. Its acceleration varies with time as a=6t+5m/s2. If it starts from origin, the distance covered in 2s is:
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a
20 m
b
18 m
c
16 m
d
25 m
answer is B.
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Detailed Solution
a= 6t+5 v= ∫6t+5 dt = 3t2+5t s= ∫3t2+5t dt = t3 + 52t2 From 0 to 2 s, distance= 23+ 52×22 = 18
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A point initially at rest moves along x-axis. Its acceleration varies with time as a=6t+5m/s2. If it starts from origin, the distance covered in 2s is: