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Q. A particle $A$ is dropped from a height and another particle $B$ is projected in horizontal direction with speed of $5 \,m/\sec$ from the same height then correct statement is:

AIPMTAIPMT 2002Motion in a Plane

Solution:

Time required to reach the ground is dependent on the vertical motion of the particle. Vertical motion of both the particles $A$ and $B$ are exactly same. Although particle $B$ has an initial velocity, but that is in horizontal direction and it has no component in vertical (component of a vector at a direction of $90^{\circ}=0$ ) direction. Hence they will reach the ground simultaneously.