A credit card is set on top of a plastic tray and the tray is slowly accelerated across a table toward a waitress, taking the credit card with it. The patron of the restaurant pushing the tray does not touch the credit card. What type of force causes the credit card to accelerate?

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