1. The tolerance is +-1 in the 3rd significant digit

A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 3.70 s, it is at point (5.80 m, 6.90 m) with velocity (3.50 m/s) j and acceleration in the positive x direction. At time t2 = 10.9 s, it has velocity (-3.50 m/s)i and acceleration in the positive y direction. What are the (a) x and (b) y coordinates of the center of the circular path? Assume at both times that the particle is on the same orbit. (a) Number i Units (b) Number UnitsA suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other, taking 2.90 s. Then security agents appear, and the man runs as fast as he can back along the sidewalk to his starting point. taking 13.5 5. What is the ratio of the man's running speed to the sidewalk's speed? Number n Units v A 280-m-wide river flows due east at a uniform speed of 4.4m/s. A boat with a speed of 8.1m/s relative to the water leaves the south bank pointed in a direction 380 west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river? (a) Number i Units (b) Number i Units (c) Number i UnitsFlying Circus of Physics In basketball, hang is an illusion in which a player seems to weaken the gravitational acceleration while in midair. The illusion depends much on a skilled player's ability to rapidly shift the ball between hands during the flight, but it might also be supported by the longer horizontal distance the player travels in the upper part of the jump than in the lower part. If a player jumps with an initial speed of vo = 6.50 m/s at an angle of 0 = 33.0', what percent of the jump's range does the player spend in the upper half of the jump (between maximum height and half-maximum height)?A person walks up a stalled 19-m-l0ng escalator in 90 5. When standing on the same escalator, now moving, the person is carried up in 31 5. How much time would it take that person to walk up the moving escalator? Number n Units v