You are the receiver in a trapeze duo and are practicing your timing. The swings are spaced so that if your partner, the jumper, releases when his swing is at 45° and flies through the air at a speed of 3m/s , he will be caught at the top of his trajectory when your swing is at 45°. Assume your swings are of equal length, that your swings start at the same angle, and the speed of both swings are equivalent. Required:How much later than your partner must you leave your platform and start your swing to complete the stunt?

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.