Question

If a body is dropped from a height of \( h \), at what velocity will it touch the ground?

• A. \( \sqrt{gh} \)
• B. \( \sqrt{2gh} \)
• C. \( 2\sqrt{gh} \)
• D. depends on mass of the body

Hint:

The velocity of a body dropped from a height depends on the height and gravitational acceleration, not on the mass of the body.

Answer 1

The Correct Option is B

Step 1: Use the equations of motion.
For an object dropped from rest, the velocity at the point of impact is given by the equation: \[ v = \sqrt{2gh}, \] where \( g \) is the acceleration due to gravity and \( h \) is the height from which the body is dropped.
Step 2: Conclusion.
Thus, the velocity with which the body touches the ground is \( \sqrt{2gh} \), corresponding to option (B).