A ball is thrown vertically upwards with a velocity 'u'. The velocity with which it falls to the earth again is:

For vertically upward motion: g is negative as it opposes the motion.

v = u – gt

0 = u – gt

t = u/g                 …..(1)


For vertically downward motion: g is positive as it is in the direction of motion.

v = u + gt

v = 0 + gt

t = v/g                 …..(2)


From equation 1 and 2

v = u

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