Answer:
The magnitude of the resultant vector R is 50 meters ⇒ 2nd answer
Explanation:
<u><em>The resultant vector</em></u> is the vector sum of two or more vectors
If the two vectors perpendicular to each other, then the magnitude of
the resultant vector is the square root of the sum of their squares
If x and y are two vectors perpendicular to each other, then the
magnitude of its resultant vector R is:
→ 
Lets solve the problem
A right triangle with the base labeled 40 meters and the height labeled
30 meters
The hypotenuse is a dotted arrow labeled R
→ The base and the height of the right triangle are perpendicular
→ The hypotenuse is the resultant vector of them
Assume that x represents the base of the triangle and y represents the
height of it
By using the rule above
→ x = 40 m , y = 30 m
→ 
→ 
→ 
→ 
<em>The magnitude of the resultant vector R is 50 meters</em>
The magnitude of the total displacement is 1000 m
Explanation:
Displacement is a vector quantity connecting the initial position and final position of motion of an object.
The magnitude of the displacement is therefore the distance in a straight line between the initial and final position of motion.
The person in the problem has the following motions:
500 meters due east
866 meters due north
The two motions are perpendicular to each other, so they form the sides of a right triangle, of which the hypothenuse corresponds to the magnitude of the total displacement.
Therefore, the magnitude of the displacement can be simply found by using Pythagorean's theorem:

Learn more about distance and displacement:
brainly.com/question/3969582
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Answer:
3.14946 rad/s
Explanation:
= Intial moment of inertia
= Final moment of inertia
= Initial angular velocity
= Final angular velocity = 

In this system the angular momentum is conserved

The angular velocity when the diver left the board is 3.14946 rad/s
The resultant speed of the plane is (3) 226 m/s
Why?
We can calculate the resultant speed of the plane by using the Pythagorean Theorem since both speeds are perpendicular (forming a right triangle).
So, calculating we have:


Hence, we have that the resultant speed of the plane is (3) 226 m/s
Have a nice day!