A figure skater glides along a circular path of radius 2.74 m. If she coasts around one half of the circle, find the magnitude of the displacement vector. If she coasts around one half of the circle, find what distance she skated. What is the magnitude of the displacement if she skates all the way around the circle?

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft