A stone is thrown vertically upwards from the top of a tower metres high according to the law . The greatest height attained by the stone above the ground is
Step1: Given data.
Height of the tower,
Equation of motion of the stone moving vertically upward,
Step2: Finding the greatest height attained by the stone above the ground.
We have,
.…..
On differentiating equation both side we get,
……
Where is the velocity of the stone.
Since, we know that on moving vertically upward the velocity of the stone at the highest point is zero.
Therefore,
Now,
Substitute the value of in equation we get,
The total height attained by the stone above the ground
Hence, option C is correct.