1. A light plane attains an airspeed of 500 km/h. The pilot sets out for a destination 800 km due north but discovers that the plane must be headed 20.0 east of due north to fly there directly. The plane arrives in 2.00 h. What were the (a) magnitude and (b) direction of the wind velocity?

2. A boy whirls a stone in a horizontal circle of radius 1.5 m and at height 2.0 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 10 m. What is the magnitude of the centripetal acceleration of the stone during the circular motion?

2. A 0.340 kg particle moves in an xy plane according to x(t) = -15.00 + 2.00t - 4.00t^3 and y (t) =25.00 + 7.00t - 9.00t^2, with x and y in meters and t in seconds. At t = 0.700 s, what are (a) the magnitude and (b) the angle (relative to the positive direction of the x axis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?

Answers:

1. a) 185km/h b)22.3(degree) (south of west)

2. 160m/s^2

3. 8.37N b)-133 (degree) c)-125 (degree)