Answer:
Explanation:
Given
mass of Projectile(m)=0.46 kg
Initial Kinetic Energy=1430 J
Maximum upward displacement from Launch point=150 m


v=78.85 m/s
and 



initial horizontal velocity

Initial vertical velocity


(c)vertical velocity at any instant=65 m/s
Since initial vertical velocity is 54.16 m/s
so 65 m/s will be acquired when projectile started falling below cliff



Answer:

Explanation:
From the question we are told that:
Weight 
Altitude
Let
Radius of Earth 
Gravity 
Generally the equation for Gravity at altitude is mathematically given by


Therefore
Weight at sea level


Weight at 6.33 altitude


Therefore



Answer:Due to the pressure difference created by rotating fans.
Explanation:
In most of the vacuum cleaners, there is an area which is of disc shape and it is in right next to the motor. There are several fans within the disc that spin at a very high velocity.
The blades will push the air outside of the disk.There is no air in inside of the disc and air pressure creates which pushes air inside the disk to replace the missing air.
So motor is pushing the air outside and to maintain this pressure the air is pushing toward inside with dirt.
The velocity equation is 
Known facts:
- t = 3.83s
- a= -3.04
- intial velocity = 0
Plug into equation known quantities:

Thus the final velocity is -11.6432m/s
Hope that helps!