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In a projectile motion the velocity...

In a projectile motion the velocity

A

is always perpendicular to the acceleration

B

is never perpendicular to the acceleration

C

is perpendicular to the acceleration for one instant only

D

is perpendicular to the acceleration for two instant

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The correct Answer is:
C

`vecv bot overset(-)a` at the Top.
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Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ltthetalt180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: A body is projected at angle of 30^@ and 60^@ with the same velocity. Their horizontal ranges are R_1 and R_2 and maximum heights are H_1 and H_2 , respectively, then A body is projected at angle of 30^@ and 60^@ with the same velocity. Their horizontal ranges are R_1 and R_2 and maximum heights are H_1 and H_2 , respectively, then