Final answer:
The key factors that affect the motion of a stone thrown upwards from a cliff are the initial velocity, acceleration due to gravity, and height of the cliff. The time it takes for the stone to reach the ground can be determined using the kinematic equation t = sqrt((2h)/(g)).
Step-by-step explanation:
The key factors that affect the motion of a stone thrown upwards from the edge of a cliff include the initial velocity, the acceleration due to gravity, and the height of the cliff. The initial velocity determines how fast the stone is thrown upwards, while the acceleration due to gravity determines the rate at which the stone falls back down. The height of the cliff affects the total time it takes for the stone to reach the ground.
To determine the time it takes for the stone to reach the ground, we can use the kinematic equation:
h = v0t - (1/2)gt2
where h is the height of the cliff, v0 is the initial velocity, g is the acceleration due to gravity (-9.8 m/s2), and t is the time taken. Rearranging the equation to solve for t, we get:
t = sqrt((2h)/(g))
Substituting the given values, we can calculate the time it takes for the stone to reach the ground.