A 1 kg mass is tied to a string of length ℓ=14/9 m and given speed 2√(gℓ) at the lowest point. The string is cut when the ball becomes horizontal. Find the total distance travelled until it stops for the first time. Take π=22/7.

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G1 Physics · Accepted Answer

Use energy to find the speed when the string becomes horizontal, then treat the subsequent motion as projectile/free motion until the first stop condition. With ℓ=14/9 m and π=22/7, the total path length evaluates to 4 m. Hence option C.