Percy in Lotus Casino. While being chased, Percy Jackson spotted the Poseidon's pearl raversing around the roulette wheel in circular trajectory. The acceleration of the pearl is purely perpendicular to its trajectory, and has a value of 1.25 [m/s²]. If the diameter of the circular path is 40.0 [cm], what is the magnitude of the velocity of the pearl? A. 0.500 [m/s] B. 0.707[m/s] C. 5.00 [m/s] D. 7.07 [m/s]

0, y 0) 44. A projectile is launched from the point (x QC with velocity (12.0î + 49.0 j) m/s, at t = 0. (a) Make a table listing the projectile's distance |r| from the ori- gin at the end of each second thereafter, for 0 s I S 10 s. Tabulating the x and y coordinates and the compo- nents of velocity v and v will also be useful. (b) Notice that the projectile's distance from its starting point increases with time, goes through a maximum, and starts to decrease. Prove that the distance is a maximum when the position vector is perpendicular to the veloc- ity. Suggestion: Argue that if v is not perpendicular to f, then r|must be increasing or decreasing. (c) Determine the magnitude of the maximum displacement. (d) Explain

A pilot is in his plane with the intention of flying to Nunavut. From the current location, Nunavut is [N 9.0W]. The flight tracker estimates the distance from Toronto to Nunavut is approximate 3.0x103km. The plane hasthe capability to fly at an airspeed of 890 km/hr. The pilot aims the plane at a heading [N], and lands in Nunavutdirectly. If the flight takes 3.33 hrs to complete: a. What is the velocity of the plane relative to the Earth? b. What was the wind velocity present on that day?

A boat sails 100 km east then 200 km 60o south of east. How far and which way is it from the origin?