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1. A ball is gently dropped from a height of 20 \(m\). If its velocity increases uniformly at the rate of 10 ms−2, with
 
a. What velocity will it strike the ground?
 
b. After what time will it strike the ground?
 
Solution:
 
From the data given,
 
Acceleration (\(a\)) \(=\) 10 \(\) ms−2
 
Distance travelled by the ball (\(s\)) \(=\) 20 \(m\)
 
Initial velocity of the boat (\(u\)) \(=\) \(0\) \(m\)\(/\)\(s\) (Since it's start from the rest state)
 
From the Equation of motion - III, We know that,
 
ii=ii +iii
 
Substituting the given values of \(u\), \(a\) and \(s\) in the above equation, we get
 
Velocity \(=\)  ms−1
 
From the Equation of motion - I, We know that,
 
i=i+ii
 
Substituting the known values in the above equation, we get
 
Time \(=\)  \(s\)