You\'ll get 5 stars if you only do it exactly as the question says. A camera is

Question

You'll get 5 stars if you only do it exactly as the question says.

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 110 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.)

Explanation / Answer

a) x = r

Hence dx/dt = r*d/dt
Hence v = r*d/dt
Now r = (1202+602) =605 = 134.164
Hence v = 134.164*0.4 = 53.6656 feet/sec

b) Using v = r*d/dt
We now have v = 53.6656 feet/sec
r = (1202+1102) = 162.788205961 feet

Now d/dt = 53.6656/162.788205961 = 0.32966516022 rad/sec

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.