Answer:
(a) 
(b) 142
(c) 
(d) 96.8 mph
(e) 0.426 s
(f) 0.061 rad
Explanation:
Velocity is a time-derivative of position.
(a) 

(b) Since
is independent of
, it follows it was constant throughout. Hence, at any point or time, the horizontal velocity is 142.
(c) 

(d) When it passes the home plate, the ball has travelled 60.5 ft (from the question). This is horizontal, so it is equivalent to
.

.
In this time, the vertical velocity,
is

The speed of the ball at thus point is
ft/s
To convert this to mph, we multiply the factor 3600/5280

(e) The time has been determined from (d) above.

(f) This angle is given by

(Note here we are considering the acute angle so we ignore the negative sign)
In radians, this is

<span>The length of the year is equivalent to the time it takes for the earth to go around the sun one time.</span>
Answer:

Explanation:
From the question we are told that
Piston-cylinder initial Volume of air 
Piston-cylinder initial temperature 
Piston-cylinder initial pressure 
Supply line temperature
Supply line pressure 
Valve final pressure 
Piston movement pressure 
Piston-cylinder final Volume of air
Piston-cylinder final temperature 
Piston-cylinder final pressure 
Generally the equation for conservation of mass is mathematically given by
where
Initial moment



Final moment



Work done by Piston movement pressure




Heat function



Therefore


It is given mathematically that the system lost or dissipated Heat of

Answer: Thermal energy transfer involves the transfer of internal energy. The three types of thermal energy transfer are conduction, convection and radiation. Conduction involves direct contact of atoms, convection involves the movement of warm particles and radiation involves the movement of electromagnetic waves.
Explanation:
Answer:
F = 51.3°
Explanation:
The component of weight parallel to the inclined plane must be responsible for the rolling back motion of the car. Hence, the force required to be applied by the child must also be equal to that component of weight:

where,
W = Weight of Wagon = 150 N
θ = Angle of Inclinition = 20°
Therefore,

<u>F = 51.3°</u>