A stone is thrown in a vertically upward direction with a velocity of 5 m s-1. If the acceleration of the stone during its motion is 10 m s-2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?
Initially, velocity of the stone,u= 5 m/s
Final velocity, v= 0 (since the stone comes to rest when it reaches its maximum height)
Acceleration of the stone, a= acceleration due to gravity, g = 10 m/s2
(in downward direction)
There will be a change in the sign of acceleration because the stone is being thrown upwards.
Acceleration, a = - 10 m/s2
Let s be the maximum height attained by the stone in time t.
According to the first equation of motion:
v= u + at
0 = 5 + ( - 10)t
t= -5 / -10 = 0.5 s
According to the third equation of motion:
v2 = u2+ 2as
(0)2= (5)2+ 2( - 10) s
s= 52 / 20 =1.25 m
Hence, the stone attains a height of 1.25 m in 0.5 s.
