The first thing we are going to do for this case is write the equations of movement of the car.
We have then:
vf = a * t + vo
Substituting values:
8.2 = a * (1.5) + (3.5)
Clearing the acceleration we have:
a = (8.2-3.5) / (1.5)
a = 3.1 m / s ^ 2
Answer:
the acceleration of the cart is:
a = 3.1 m / s ^ 2
Answer:
8.57181 s
84.0894561 m/s
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
g = Acceleration due to gravity = 9.81 m/s² = a
Let distance from ground be x
From equation of motion we have
Here, distance covered while the stone is falling will be 
The equation is
At the ground x = 0
The time taken by the stone to fall to the ground is 8.57181 s
The velocity of the stone when it reaches the ground is 84.0894561 m/s
The distance an object falls from rest through gravity is
D = (1/2) (g) (t²)
Distance = (1/2 acceleration of gravity) x (square of the falling time)
We want to see how the time will be affected
if ' D ' doesn't change but ' g ' does.
So I'm going to start by rearranging the equation
to solve for ' t '. D = (1/2) (g) (t²)
Multiply each side by 2 : 2 D = g t²
Divide each side by ' g ' : 2 D/g = t²
Square root each side: t = √ (2D/g)
Looking at the equation now, we can see what happens to ' t ' when only ' g ' changes:
-- ' g ' is in the denominator; so bigger 'g' ==> shorter 't'
and smaller 'g' ==> longer 't' .--
They don't change by the same factor, because 1/g is inside the square root. So 't' changes the same amount as √1/g does.
Gravity on the surface of the moon is roughly 1/6 the value of gravity on the surface of the Earth.
So we expect ' t ' to increase by √6 = 2.45 times.
It would take the same bottle (2.45 x 4.95) = 12.12 seconds to roll off the same window sill and fall 120 meters down to the surface of the Moon.
Disagree
Explanation:
Fluoresce objects will glow when put under Ultraviolet light as the molecules are excited by the ultraviolet radiation.
Microwaves give micro-waves that are present in another spectrum of wave length and will not be able to fluoresce the molecules
