A worm crawls on a table top. It moves 4cm East, Turn 6 cm 40degrees North of East, moves 5cm North, 2cm East and Finally 3cm 35degrees North of East. What is the worm's total displacement
To find the worm's total displacement, we need to combine all the individual displacements and calculate the resultant displacement.
Let's break down the given information step by step:
1) The worm moves 4cm East.
This means the worm has an initial displacement of 4cm East.
2) The worm turns 40 degrees North of East and moves 6cm in that direction.
To calculate the displacement in this step, we can use trigonometry. Since the worm is moving North of East at a 40-degree angle, we can find the East and North components of the displacement.
East component = 6cm * cos(40 degrees)
North component = 6cm * sin(40 degrees)
3) The worm moves 5cm North.
This means the worm has a displacement of 5cm North.
4) The worm moves 2cm East.
This means the worm has a displacement of 2cm East.
5) The worm turns 35 degrees North of East and moves 3cm in that direction.
Similar to step 2, we can use trigonometry to calculate the displacement in this step.
East component = 3cm * cos(35 degrees)
North component = 3cm * sin(35 degrees)
Now, we have the displacements in both the East and North directions. To find the total displacement, we can use the Pythagorean theorem:
Total displacement = √((Sum of East components)^2 + (Sum of North components)^2)
You can substitute the values we calculated in the respective steps and solve to find the total displacement.