It takes 6 seconds for a stone dropped from rest to the bottom of a well,what is its final speed
A; 6 meters/second
B: 30 meters/seconds
C: 36 meters/seconds
D: 60 METERS/SECONDS
A is incrrect
vf=g*t where g=9.8m/s^2
To determine the final speed of the stone dropped from rest, we can use the equation of motion:
v = u + at
where:
v is the final velocity (speed) of the stone,
u is the initial velocity of the stone (which is 0 m/s since it was dropped from rest),
a is the acceleration due to gravity (approximately 9.8 m/s^2),
and t is the time taken for the stone to reach the bottom of the well (which is given as 6 seconds).
Using this equation, we can calculate the final speed of the stone:
v = 0 + (9.8 m/s^2)(6 s)
v = 0 + 58.8 m/s
v = 58.8 m/s
Therefore, the final speed of the stone is 58.8 meters/second.
None of the given answer options (A, B, C, D) match the correct answer, which is 58.8 meters/second.