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Question

A car starts from rest and travels with uniform acceleration "α" for some time and then with uniform retardation "β" and comes to rest. The time of motion is "t". Find the maximum velocity attained by it.

A
αβt/(α/2+β)
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B
αβt/(α+β)
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C
αβt/(α+β/2)
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D
α/2βt/(α+β)
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