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Question

A particle starts with a velocity of 3 ms1 and moves in a straight line with a retardation of 0.2 ms2. The first time at which the particle is 20 m from the starting point is

A
15 s
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B
20 s
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C
10 s
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D
30 s
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Solution

The correct option is C 10 s
Taking the direction of motion to be positive direction
u=3 m/s
a=0.2 m/s2 ( motion is retarded)
By using second equation of motion, we get
20=3t12×(0.2)t2
(0.1)t23t+20=0
On solving, we get t=10 s and t=20 s
For the first time particle will cover
20 m in 10 s.

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