Question

A particle moves 3m at an angle 20° with respect to the x-axis after which it moves a further distance 4m at an angle 110° to the x-axis. Find the total displacement

Answer 1

To find the total displacement, break down the distances into x and y components using trigonometry. Add the horizontal components and the vertical components separately to find the total displacement. The total displacement is (-0.1433m, 4.7471m).

Step-by-step explanation:

To find the total displacement, we need to find the horizontal and vertical components of the particle's motion. We can use trigonometry to break down the distances into x and y components.

For the first motion, the horizontal component is 3m * cos(20°) = 2.8397m and the vertical component is 3m * sin(20°) = 0.9945m.

For the second motion, the horizontal component is 4m * cos(110°) = -2.983m and the vertical component is 4m * sin(110°) = 3.7526m.

Adding the horizontal components together gives us a total displacement of 2.8397m - 2.983m = -0.1433m.

Adding the vertical components together gives us a total displacement of 0.9945m + 3.7526m = 4.7471m.

Therefore, the total displacement is (-0.1433m, 4.7471m).