A camera is set up at the starting line of a drag race 50 ft from a dragster at

Question

A camera is set up at the starting line of a drag race 50 ft from a dragster at the starting line. Two seconds after the start of the race, the dragster has traveled 100 ft and the camera (camera 1) is turning at 0.4 rad/s while filming the dragster.
a.What is the speed of the dragster at this point?
100ft/s

B. a second camera filiming the dragster is located on the starting line 90 ft away from the dragster at the start of the race. How fast is this camera turning 2 seconds after the start of the race?
(Three decimal places as needed)

Explanation / Answer

when camera angel is A and setup distance is 50ft

=> Drugster's position x = 50 tanA

=> v = 50sec^2A . (on differentiating x)

A) here angle

tanA = 2

=> V = 50 x 5 x 0.4 = 100ft/s

speed of the dragster is 100ft/s

b)

when starting distance is 90ft

then 100 = 90 x 2.2345 x

=> = 0.497 rad/s

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