a cyclist travel a distance of 4km from P to Q then moves the distance of 3km at right angle to PQ. find its resultant displacement graphically?
1. Using graph paper, draw a 4-inch line from the origin parallel to the positive x-axis.
2. Draw a 3-inch vertical line from the
origin parallel to the positive y-axis.
3. Complete the rectangle with the hor.
sides 4 inches long and the ver sides 3 inches long.
4.Draw a diagonal from the origin to the upper right hand corner of the rectangle. This is the resultant.
5. Measure the length of the resultant;
it should be approximately 5 inches.
A cyclist travel a distance of 4km from P to q and then moves a distance of 3km at the right angle to PQ. Find his resultant displacement graphically.
The displacement is 5
To find the resultant displacement graphically, we can use the graphical method of vector addition.
First, let's draw a diagram to represent the distance and direction of each leg of the cyclist's journey.
1. Start by drawing a line segment PQ representing the distance of 4km from point P to point Q.
Label point P and point Q on the line segment.
2. Next, draw a line segment QR perpendicular to PQ, representing the distance of 3km at a right angle to PQ.
Label point R on this line segment.
Now, we can find the resultant displacement by completing a parallelogram using the vectors PQ and QR.
1. Draw a line segment PR connecting points P and R.
2. Complete the parallelogram by drawing a line segment PS parallel to QR and extending it from point Q to point S, which will intersect with the line segment PR.
3. The diagonal line segment PS, starting from point P and ending at point S, represents the resultant displacement of the cyclist.
4. Measure the length of PS using a ruler or a scale. This length represents the magnitude of the resultant displacement.
5. To determine the direction of the resultant displacement, draw an arrow indicating the direction from point P to point S.
Now, you have a graphical representation of the cyclist's resultant displacement.