Question

A car starts from P and follows the path as shown in figure, Finally car stops at R. Find the distance traveled and displacement of the car if $a = 7 m, b = 8 m and r = \dfrac {11}{\pi} m ? [take \pi = \dfrac{22}{7}]

Answer 1

Distance = $a+\pi r+b+2\pi r$

$7+8+\pi \times \frac{11}{\pi }+2\pi \times \frac{11}{\pi }$

= 48m

Displacement = a+ 2r +b+4r

$=7+8+2+\times \frac{11}{\pi }+4\times \frac{11}{\pi }$

$=(15+\frac{11}{\pi })m$