A stone is thrown horizontally with the velocity 15 m/s. If the ratio of normal acceleration to the tangential acceleration stone in 1 second after it begins to move is x, then value of 2x will be
Physics · Circular Motion · kinematics of circular motion
JEE Mains

Question

A stone is thrown horizontally with the velocity 15 m/s. If the ratio of normal acceleration to the tangential acceleration stone in 1 second after it begins to move is x, then value of 2x will be

G1 Physics · Accepted Answer

After 1 s, vₓ=15 m/s and vᵧ=10 m/s. For gravity g downward, tangential acceleration is aₜ=g|vᵧ|/v and normal acceleration is aₙ=g|vₓ|/v. Hence aₙ/aₜ=15/10=1.5=x, so 2x=3.