A small ball of mass is thrown upward with velocity from the ground. The ball experiences a resistive force where is its speed. The maximum height attained by the ball is:
Step 1: Given data and drawing the diagram
Mass
Velocity
Resistive force
Acceleration
Net force
Speed
Step 2: Find maximum height attained by the ball
Net force on ball weight of ball resistive force
So, net acceleration of ball,
Now,
Integration both sides,
….(1)
Let
Lower limit:
If , then
Upper limit:
If , then
Putting these values in equation (1), we get
Hence, option B is correct.