42. The velocity of an object moving along a straight line varies with time as v = 2t"2 e"-t. where vm is in/s and ' is in seconds. At which of the following times (t =) is the acceleration of the object zero? (1) O (3) 3s

Answers 1

Answer:AandB

Explanation:

a=dtdv=dtd(2t2e−t)=2[t2e−1(−1)+e−12t]=e−1(4t−2t2)So, a=0 ⟹ 4t−2t2=0Or 2t(2−t)=0⟹ t=0 and t=2

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