Homework SourseA camera is set up at the starting line of a drag race 50 ft
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)
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)
Solution
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
