In a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fall acceleration ? (that is, at 0.6? ) in reaching a speed of about 120 m/s. If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6?, what is the radius ? of the turn?

A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.55 km. (a) What is its centripetal acceleration in gs? (b) Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 565 m/s (supersonic). What is the radius, in km, of his turn? (This must be short-lived because fighter planes can only briefly endure such large accelerations without serious damage, and the pilot will soon black out at 10 gs.)

A military jet is flying at 357 m/s in a tight circular turn. If the military jet reaches a centripetal acceleration of 10.0 times the free-fall acceleration, what must the radius of its turn be?

A well-thrown football is spinning at 5.9 rev/s. The widest point of the football is at the center of the laces, where the radius is 8.50 cm.  What is the magnitude of the centripetal acceleration of the laces in m/s2?