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Q.

A ball is thrown vertically upward with a velocity of 5 m s-2. Also given, the acceleration of the ball during its motion is 10 m s-2 in the downward direction; calculate the time taken to reach there.


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a

0.5 s

b

1.25 s

c

0.32 s

d

0.45 s 

answer is A.

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Detailed Solution

Time taken to reach the top is 0.5 s.
Given:
The initial velocity is u = 5 m s-1.
The final velocity v = 0 (the ball stops at the top)
Acceleration a = -10 cm s-2 (Since the ball is thrown vertically upwards, the velocity of the ball goes on decreasing. This is due to the force of gravity of the earth that is acting on it in the downward direction. So, the acceleration is negative)
To find time
Using the first equations of motion,
⇒v=u+at…(1)
Where u, v,a, and t are initial velocity, final velocity, acceleration, and time respectively.
⇒0=5+-10t
⇒t=0.5 s
 
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