In the design of a timing mechanism, the motion of pin p in the fixed circular slot is controlled by the guide a, which is being elevated by its lead screw. guide a starts from rest with pin p at the lowest point in the circular slot, and accelerates upward at a constant rate until it reaches a speed of 60 mm/s at the halfway point of its vertical displacement. the guide then decelerates at a constant rate and comes to a stop with pin p at the uppermost point in the circular slot. determine the n- and t-components of acceleration of pin p once the pin has traveled 30° around the slot from the starting position.

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.