If a ball is dropped from a height H its velocity will incre

If a ball is dropped from a height (H) its velocity will increase until it hits the ground (assuming that aerodynamic drag due to the air is negligible). During its fall, its initial potential energy is converted into kinetic energy. If the ball is dropped from a height of 680 centimeters, and the impact velocity is 38 feet per second, determine the value of gravity in units of meters per second squared. Click the icon to view the conversion table. The value of gravity is m/s^2 (Round your answer to three significant digits.)

Solution

mgh = 1/2 m v^2

v=38 feet /sec =11.5824 m/s

h =680 cm =6.8 m

g= v*v/(2*h)

=11.5824^2/(2*6.8)

=9.8641 m/s^2 = 9.864