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A coin is thrown in a vertically upward direction with a velocity of 5 ms1. If the acceleration of the coin during its motion is 10 ms2 in the downward direction, what will be the height attained by the coin and how much time will it take to reach there ?
Options:
A .  s=1.5 m, t=0.25 s
B .  s=0.25 m, t=1.5 s
C .  s=1.25 m, t=0.75 s
D .  s=1.25 m, t=0.5 s
Answer: Option D
:
D
Given, initial velocity, u=5ms1, acceleration, a=10ms2.
Let 'v' be the final velocity and 's' be the height attained.
At the highest point of motion, v=0
Using third equation of motion, v2=u2+2as,
0=52+[2×(10)×s]
s=1.25m
Hence the height attained by the coin is 1.25m.
Let the time taken be t.
Using the first equationof motion,
v=u+at
0=510t
t=0.5s
Time taken by the coin is 0.5s.

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