The velocity of the aircraft relative to the ground is 240 km/h North
Explanation:
We can solve this problem by using vector addition. In fact, the velocity of the aircraft relative to the ground is the (vector) sum between the velocity of the aircraft relative to the air and the velocity of the air relative to the ground.
Mathematically:

where
v' is the velocity of the aircraft relative to the ground
v is the velocity of the aircraft relative to the air
is the velocity of the air relative to the ground.
Taking north as positive direction, we have:
v = +320 km/h
(since the air is moving from North)
Therefore, we find
(north)
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Answer:
The position function is
.
Explanation:
Given that,
Acceleration 
Initial velocity 
Initial displacement 
We know that,
The acceleration is the rate of change of velocity of the particle.

The velocity is the rate of change of position of the particle

We need to calculate the the position
The acceleration is



On integration both side


At t = 0


Now, On integration again both side


At t = 0



Hence, The position function is
.
Answer:
The recoil speed of the man and rifle is
.
Explanation:
The expression for the force in terms of mg is as follows;
F=mg
Here, m is the mass and acceleration due to gravity.
Rearrange the expression for mass.

Calculate the combined mass of the man and rifle.

Put
.


The expression for the conservation of momentum is as follows as;

Here,
is the mass of the man and rifle,
is the mass of the rifle,
are the initial velocities of the man and bullet and
are the final velocities of the man and rifle and rifle.
It is given in the problem that a rifle with a weight of 25 N fires a 4.5-g bullet with a speed of 240 m/s.
Convert mass of rifle from gram to kilogram.


Put
,
,
,
and
.




Therefore, the recoil speed of the man and rifle is
.
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The ball is using an reaction and opposite reaction, so when you dribble a basketball you push the ball with downward force and the ground pushes the ball back up thus making the opposite reaction.