A marble P is dropped vertically, another identical marble Q is projected horizontally from the top of a tower at same point at the same instant.

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P will reach the ground earlier than Q

Q will reach the ground earlier than P.

Both P and Q will reach the ground at the same instant

None of these

answer is C.

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Detailed Solution

for body dropped freely, In vertical direction , initial velocity=uy =0; acceleration due to gravity=g=9.8m/s2; for body projected horizontally, In vertical direction , initial velocity=uy =0; acceleration due to gravity=g=9.8m/s2; as the physical quantities involving vertical displacement are same, both the bodies reach the ground in same time, On applying Sy=uyt +12gt2; here Sy=h=height of the tower; uy= vertical direction initial velocity For both the bodies initial vertical component of velocity is same.hence both the bodies will reach the ground simultaneously.

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