The diagram shows a vertical number line. what is the position of point X?
2 answers:
The correct answer is option 4, 16.
Explanation
Each division on the number line represents 4 units. The point X is located 4 divisions above 0, the origin. On this particular number line, 4 divisions represents units. This means that the point X is located at
on the number line.
The correct answer is the 4th option, whose value is 16.
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I assume L=120 yards as the length of the football field.
1) The average speed is given by the total distance covered by the player divided by the time taken.
The total distance covered to go from one goal line to the other and then back to the 40-yards line is
And the time taken is t=22.4 s, so the average speed of the player is
2) The find the average velocity, we should also consider the direction (and the sign) of the velocity.
In the the first part of the motion, the player goes from one goal line to the other one, so he covers 120 y. However, in the second part of the motion he goes back by 80 y. Therefore, the net displacement of the player is
and so, the average velocity is
1) The average speed is given by the total distance covered by the player divided by the time taken.
The total distance covered to go from one goal line to the other and then back to the 40-yards line is
And the time taken is t=22.4 s, so the average speed of the player is
2) The find the average velocity, we should also consider the direction (and the sign) of the velocity.
In the the first part of the motion, the player goes from one goal line to the other one, so he covers 120 y. However, in the second part of the motion he goes back by 80 y. Therefore, the net displacement of the player is
and so, the average velocity is
The mechanical energy of the car is
Explanation:
The mechanical energy of an object is equal to the sum of its gravitational potential energy (GPE) and its kinetic energy (KE):
E = GPE + KE
The GPE of the car is given by:
where
m = 1000 kg is the mass of the car
is the acceleration of gravity
h = 30 m is the height of the car above the ground
Substituting,
The kinetic energy of the car is given by:
where
m = 1000 kg
v = 50 m/s is the speed of the car
Substituting,
Therefore, the mechanical energy is
Learn more about potential energy and kinetic energy:
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