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Question

A body starts with initial velocity u and moves with uniform acceleration. When the velocity was increased to 5u, the acceleration is reversed in direction, the magnitude remains constant. Find its velocity when it returns to the starting point?

A
-7u
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B
-5u
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C
-u
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D
2u
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Solution

The correct option is C -u
I. By III equation of motion,
v2=u2+2as
(5v)2=u2+2as
25v2u2=2as
24u2=s
2a
Distance travelled =S=12u2a
II. v2=u2+2as
v2=(5u)2+2(a)(12v2a)
v2=25v224u2
v2=u2
v=1u
v=u.

1231267_1299793_ans_3ebc652935ac41ec8a4fffa8e50fc69d.png

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