Answer:
3.9 seconds
Explanation:
Use constant acceleration equation:
y = y₀ + v₀ t + ½ at²
where y is the final position,
y₀ is the initial position,
v₀ is the initial velocity,
a is the acceleration,
and t is time.
Given:
y = 0 m
y₀ = 15 m
v₀ = 15 m/s
a = -9.8 m/s²
Substituting values:
0 = 15 + 15t + ½ (-9.8) t²
0 = 15 + 15t − 4.9t²
0 = 4.9t² − 15t − 15
Solve with quadratic formula:
t = [ -b ± √(b² − 4ac) ] / 2a
t = [ 15 ± √((-15)² − 4(4.9)(-15)) ] / 2(4.9)
t = [ 15 ± √(225 + 294) ] / 9.8
t = (15 ± √519) / 9.8
t = -0.79 or 3.9
It takes 3.9 seconds for the stone to reach the bottom of the well.
The negative answer is the time it takes the stone to travel from the bottom of the well up to the top of the well.
Answer:
Heavier on one side lighter on the other side.
:P
Explanation:
Answer:
24.24L
Explanation:
According to Boyle's law which states that "the volume of a given mass of gas at constant temperature is inversely proportional to its pressure". Mathematically, P = k/V where;
P is the pressure
V is the volume
k is the proportionality constant
PV = k
P1V1 = P2V2
P1 and P2 are initial and final pressure respectively
V1 and V2 are the initial and final volume respectively
Given P1 = 101kPa V1 = 6.0L, P2 = 25kPa V2 = ?
From the formula;
V2 = P1V1/P2
V2 = 101×6/25
V2 = 24.24L
The final volume for the gas is 24.24L
Answer: c. displacement
Explanation:
Let's begin by stating clear that motion is the change of position of a body at a certain time. So, during this motion, the body will have a trajectory and a displacement.
In the specific case of the displacement, it is defined as the distance in a straight line between the initial and final position (is a vector magnitude).
Therefore:
Displacement s the the change in position relative to an initial location.