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To study the performance of a race car, a high speed motion picture camera is positioned at point A. The camera is mounted on a mechanism which permits it to record the motion of the car as the car travels on straightway BC. The speed of the car in terms of b, $θ$ , and $\frac{d θ}{d t}$ is given by

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$b | \frac{d θ}{d t} | \cos^{2} θ$

$b | \frac{d θ}{d t} | \sin^{2} θ$

$b | \frac{d θ}{d t} | \sec^{2} θ$

$b | \frac{d θ}{d t} | c o \sec^{2} θ$

answer is C.

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Detailed Solution

$x = b \tan θ$

$v = (\frac{d x}{d t}) = b \sec^{2} θ | \frac{d θ}{d t} |$

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