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
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Rust is a chemical change. Chemical changes are when the substances that make up an object change into other chemicals. For example, rust. What happens is metal and oxygen/water react and create rust. Hope this helps :)
and velocity of Abigail =
Explanation: Consider Vs as sam velocity and Va as bigail velocity. Now consider the north as positive x and the east as positive y for our reference. Before collision, their velocity vectors can be represented as
= Vs i
=Va j Now after collision their velocity vectors are given as
= 6 cos 37 i + 6 sin 37 j = 4.79 i + 3.61 j
= 9 cos 23 i + 9 sin 23 j = 8.28 i - 3.52 j As we know in the absence of external force the momentum before and after collision will remain the same therefore P1 = P2 ∴ P = mv Momentum = mass x velocity
As sliding is on frictionless surface therefore before and after the collision, momentum remains conserved in the absence of external force. we can write it as
Now putting values we get 80 x Vs + 50 x 0 = 80 x 4.79 + 50 x 8.28 (First Consider horizontal vector components) Velocity of sam before collision= Vs = 9.97
Now consider vertical vector components 80 x 0 + 50 x Va = 80 x 3.61 + 50 x (-3.52) (Before Collision direction opposite so put negative sign) velocity of abigail before collision = Va = 2.26