A stone is thrown vertically upward. At launch point A, OA = 6√5 m; at a point B, OB = 10 m and the velocity component along OB vanishes; at C, OC = 6 m and the velocity component along OC vanishes. If launch speed v₀ = 5n m/s, find n.
Physics · Mixed Chapter
JEE Main Practice

Question

A stone is thrown vertically upward. At launch point A, OA = 6√5 m; at a point B, OB = 10 m and the velocity component along OB vanishes; at C, OC = 6 m and the velocity component along OC vanishes. If launch speed v₀ = 5n m/s, find n.

Physics · Mixed Chapter

G1 Physics · Accepted Answer

Step 1: Vanishing velocity component along an O-to-stone line can arise either at the highest point (total speed zero) or at the point of closest horizontal distance to O. Step 2: Fix horizontal separation of the vertical track from O using the geometric data OB = 10 m and OC = 6 m. Step 3: The source gives v₀ = 20 m/s and hence n = 4, but without indicating which of B/C corresponds to the turning point, the geometry as printed needs diagram confirmation before a unique independent derivation.