Answer:
Because the hiker walked directly west and then directly north the two legs of the hike forms a right triangle. Therefore we can use the Pythagorean Theorem to solve this problem.
c=5
The hiker is 5km from camp and should head in a generally south-east direction
The volume of water that is displaced by the crown is equal to the volume of the crown so by measuring the displaced water volume one can simply determine the density of the crown which is it's mass divided by its volume. if it's not equal to 19.32 per cubic centimeters (which is the density of the pure gold) we can conclude that it has impurities
Answer:

Explanation:
2. Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;

3. Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;

Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
4. Substituting the equation in 3 into equation in 2 above, we have;

Average Velocity = (size+direction of displacement)/(time for the change)
We don't know the direction in which the ball rolled, so we can't fully describe its velocity. The best we can do is talk about its speed.
Speed = (distance covered) / (time to cover the distance)
Distance = (ending position) - (starting position)
Distance = (80 cm) - (zero) = 80 cm
Speed = (80 cm) / (0.4 sec)
Speed = 200 m/s