First slide

Instantaneous 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 $X_{P} = a t + b t^{2}$ and $X_{q} = f t - t^{2}$ , At what time do the cars have the same velocity?

Moderate

A

$\frac{a - f}{1 + b}$
B

$\frac{f + a}{2 (b + 1)}$
C

$\frac{a + f}{b + 1}$
D

$\frac{f - a}{2 (b + 1)}$

Solution

$V_{p} = a + 2 b t$ and $V_{q} = f - 2 t$
$V_{p} = V_{q}$
t= $\frac{f - a}{2 (b + 1)}$

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