A student is asked to find the resultant velocity of a stunt man running 3 m/s east across the top of train that is moving 35 m/s west. How will the student find the stunt man's resultant velocity?
Question 14 options:
The student should add the two velocities together.
The student should subtract the two velocities from each other.
The student should subtract the squared values of the two velocities.
The student should draw the two velocities as a triangle and use the Pythagorean theorem.
The student should add the two velocities together.
The correct answer is: The student should add the two velocities together.
To find the resultant velocity of the stunt man, the student should draw the two velocities as a triangle and then use the Pythagorean theorem.
First, the student should draw a horizontal line to represent the velocity of 3 m/s east. Then, they should draw another line pointing in the opposite direction to represent the velocity of 35 m/s west. These two lines will form a triangle.
Next, the student can use the Pythagorean theorem to find the length of the resultant velocity. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the hypotenuse represents the resultant velocity. The length of the horizontal line represents the 3 m/s east velocity, and the length of the vertical line represents the 35 m/s west velocity.
By applying the Pythagorean theorem, the student can find the length of the resultant velocity. Finally, they can determine the direction of the resultant velocity by considering the directions of the original velocities.