Two cars P and Q start from a point at the same time in a straight line and their positions are represented by xp(t) = at + b t² and xQ(t) = ft - t² At what time do the cars have the same velocity

Question:

Two cars P and Q start from a point at the same time in a straight line and their positions are represented by xp(t) = at + b t² and xQ(t) = ft – t² At what time do the cars have the same velocity

Options :

(a) (f - a)/(2(1 + b))
(b) (a - f)/(1 + b)
(c) (a + f)/(2(b - 1))
(d) (a + f)/(2(1 + b))

Answer :

(a) (f – a)/(2(1 + b))

Answer Steps :

Step 1:

Step 2:

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