Solve this:
3. A car moves 2.00 km towards east, makes a perpendicular left turn and travels 500 m, makes a perpendicular right turn and travels 4.00 km and finally stops. Find the displacement of the car.
4. A body covers an arc of a circle of radius 'r', subtending an angle of 120° at the centre of the circle. What is the magnitude of the displacement of the body?

Dear Student ,
3.
The displacement of the car is represented by AD.
AD=2i^+0.5j^+4i^      =6i^+0.5j^

Magnitude of AD is given by

AD=AE2+DE2      =62+0.52      =36+0.25=6.02 km



Now, tan θ=DEAE=112
θ=tan-1 112
Hence, the displacement of the car is 6.02 km along the direction tan-1 112 with positive the x-axis.
Kindly ask different question with different posts .
Regards

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