A camera is set up at the starting line of a drag race 60 ft

A camera is set up at the starting line of a drag race 60 ft from a dragster at the starting line (camera 1 in the figure). Two seconds after the start of the race, the dragster has traveled 120 ft and the camera is turning at 0.4 rad/s while filming the dragster. Answer parts a. and b. below. What is the speed of the dragster at this point? The speed of the dragster is 120 ft/s. (Type an integer or a decimal.) A second camera (camera 2 in the figure) filming the dragster is located on the starting line 100 ft away from the dragster at the start of the race. How fast is this camera turning 2 s after the start of the race? This camera is turning at a rate of rad/s. (Round to three decimal places as needed.)

Solution

a. tan = 120/60 = 2, sec^2 = 5

sec^2 d/dt = (dx/dt)/60 = v/60

5(0.4) = v/60

v = 120ft/s

b. after 2sec, tan = 240/100 = 2.4, sec^2 = 1+2.4^2 = 6.76

sec^2 d/dt = 120/60 = 2

d/dt = 2/6.76 = 0.295rad/s